HELP NEEDED NOW Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

HELP NEEDED NOW Measure The Difference Between The Lower Quartile Of Data Set A And The Lower Quartile

Answers

Answer 1

Answer:

29

Step-by-step explanation:

The formula for lower quartile(Q1) = 1/4(n + 1)th term

Where n = number of terms.

For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 79

4th term = 81

3.25th term = 79 + 81/2

= 160/2

= 80

For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 51

4th term = 51

3.25th term = 51 + 51/2

= 102/2

= 51

The difference between the lower quartile of Data Set A and Data Set B =

80 - 51 = 29


Related Questions

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Answers

Answer:

15.62 = x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10 ^2 + 12^2 = x^2

100 +144 = x^2

244 = x^2

Take the square root of each side

sqrt(244) = sqrt(x^2)

15.62049935 = x

Rounding to the nearest hundredth

15.62 = x

Answer:

15.62

Step-by-step explanation:

We can use the Pythagorean Theorem.

10^2+12^2=c^2

100+144=c^2

244=c^2

15.62=c, or x=15.62

Use the Venn diagram to list the elements of the set in the roster form

Answers

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write an equation in slope-intercept form for the line that satisfies the following condition.
slope 5 and passes through (2, 28)
Select one:
O a.y=5x - 28
O b.y = 2x - 2
O c. y= 28x + 18
O d. y = 5x + 18

Answers

Answer:

d. y= 5x+18

Step-by-step explanation:

y=mx+b is slope intercept form

Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).

So by substituting we get 28=5(2)+b

simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.

So now we use the values of slope(m) and the y-intercept(b) to write the equation:

y=5x+18

Hey there! I'm happy to help!

Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.

If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!

Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!

If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!

We will plug in our point (2,28) and solve for b!

28=5(2)+b

28=10+b

b=18

Our y-intercept is 18.

So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.

y=5x+18

Therefore, our answer is d. 5x+18.

Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D

Sean is raising funds for an event at his school. He has collected $25 each from x people, and he is still $100 short of his goal. The expression that gives his goal is

Answers

Answer:

25x + 100 = His goal

Step-by-step explanation:

He gets 25 from each person so the amount of people would be x and then you add 100 dollars for how much he still needs.

Y=25x +100, i think thats right not 100% sure though.

Kobi and I need to know which of the following is NOT a possible value for the number of pennies

Answers

Answer:

A. 85

Step-by-step explanation:

SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)

It can not be 85 answer must end with 3 or 8

I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposit in the bank THIS IS URGENT! PLEASE ANSWER! I REALLY NEED HELP! :((( :c :'( *crys

Answers

Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

[tex]A = P (1 + rt)[/tex]

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

[tex]10000= P(1+0.075*8)\\\10000= P(1.6)\\\[/tex]

Divide both sides by 1.6 we have

[tex]P= \frac{10000}{1.6} \\\P= 6250[/tex]

P= $6,250

The graph of the function f(x) = log5 (x) is stretched vertically by a factor of 2, shifted to the left by 8 units, and shifted up
by 3 units.
Find the equation of the function g(x) described above.

Answers

Answer:

We start with y = g(x) = f(x)

First, we have a vertical stretch by a factor of 2.

A vertical strech by a factor of A will be g(x) = A*f(x)

then in this case A = 2, so we have g(x) =  2*f(x)

Now we have it shifted left by 8 units.

We know that f(x - A) shift right the graph by A units (A positive), here A = 8.

then we have: g(x) =  2*f(x - 8)

Now we want shift up 3 units, if we have y = f(x) we can shift the graph up by A units as: y = g(x) + A (for A positive)

Then we have: g(x) =  2*f(x - 8) + 3

now, our function was f(x) = Log₅(x)

then g(x) = 2*log₅(x - 8) + 3.

Answer:

g(x)=2log5(x+4)−8

Step-by-step explanation:

Rewrite the expression below using the Associative Property of Multiplication: (ab)c

Answers

Answer:

hope this helps

Step-by-step explanation:

(ab)c = (ac)b = (bc)a

Answer:

Here are a couple of examples (a+b)c or (c+b)a or (a+c)b

Step-by-step explanation:

To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.

Estimate the value of?

Answers

Answer:

D) 2.0

Step-by-step explanation:

We know that √2 = 1.414213562 ≈ 1.4, π ≈ 3.14, and √5 = 2.236067978 ≈ 2.2 . Next, I found out that √2π = 4.442882938 which rounds to 4.4. Then, I found out that 4.4 ÷ √5 equals to 1.96773982. So, if we round our answer to the nearest whole number, we will get 2.

Answer:

[tex]\boxed{Option \ D}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{2} \pi }{\sqrt{5} }[/tex]

Where [tex]\sqrt{2}[/tex] = 1.4 , π = 3.14 and [tex]\sqrt{5}[/tex] = 2.24

Plugging in the values

=> [tex]\frac{(1.4)(3.14)}{2.24}[/tex]

=> 4.396/2.24

=> 1.9

≈ 2.0


Which of the following expressions are equivalent to 4 - (-5) +0?
Intro
Choose 3 answers:

A: 4- (-5)

B: 4+5

C: 4- (-5+0)

D: (4-5)+0

E: 4- (5-0)

Answers

Answer:

A, B, C

Step-by-step explanation:

4 - (-5) + 0

4 - (-5) = 4 + 5 (because a negative + negative = positive)

4 + 5 = 9

a, b and c all equal 9

hopefully this helped you!! :3

Answer:a,b,c

ExplainNation:



A class rolled number cubes. Their results are shown in the table. What is the experimental probability of rolling the number 4?

Answers

Answer:16.8 ur welcs

Step-by-step explanation:

Answer: like 8 out of 35 chances
Explanation: 4 x 8 is 32 but you cant go any higher so the probability is 8 out 35 i think

Write the following decimals as fractions.

Show work for each and every question below.

Answers

Answer:

5a) 0.2823=2823/10000

5b) 0.5474=2737/5000

6a)0.3484=871/2500

6b) 0.5=1/2

7a) 0.11=11/100

7b) 0.1224=153/1250

Step-by-step explanation:

HELP NOW A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score more than 10 points?

Answers

Answer:

1/2 (or) 0.50 (or) 50%

Step-by-step explanation:

10 out of 20 wedges are worth more than 10.

10/20 = 1/2 (or) 0.50 (or) 50%

Answer:

0.75

Step-by-step explanation:

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, -6), B(5, -6), C(5, -2) and D(2, -2). What is the perimeter of rectangle ABCD?

Answers

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\\\[/tex]

A(2, -6), B(5, -6),

       [tex]AB =\sqrt{(5-2)^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(5-2)^{2}+(-6+6)^{2}}\\\\=\sqrt{3^{2}+0}\\\\=\sqrt{3^{2}}\\\\=3 units\\[/tex]

B(5,-6) ; C(5,-2)

[tex]BC = \sqrt{(5-5)^{2}+(-2-[-6])^{2}}\\\\ = \sqrt{0+(-2+6)^{2}}\\\\ = \sqrt{4^{2}}\\\\[/tex]

BC = 4 units

C(5, -2) ; D (2,-2)

[tex]CD = \sqrt{(2-5)^{2}+(-2-[-2])^{2}}\\\\ = \sqrt{(-3)^{2}+(-2+2)^{2}}\\\\ = \sqrt{(-3)^{2}}[/tex]

CD = 3 units

A(2,-6) ; D(2,-2)

[tex]AD = \sqrt{(2-2)^{2}+(-2+6)^{2}}\\\\ = \sqrt{0 +(4)^{2}}\\\\ = \sqrt{(4)^{2}}\\[/tex]

= 4 units

Perimeter = AB + BC + CD + AD

                = 3 + 4 + 3 + 4

                 = 14 units

A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4

Answers

Answer: B) y = -5x+5

slope = -5, y intercept = 5

===========================================

Explanation:

The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.

Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.

---------------

If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b

y = mx+b

-5 = -5(2)+b

-5 = -10+b

-5+10 = -10+b+10 ... adding 10 to both sides

5 = b

b = 5 is the y intercept

So we have y = mx+b update to y = -5x+5 as the perpendicular line.

Answer:

[tex]y = - 5x + 5[/tex]

Step-by-step explanation:

[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]

.

[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]

[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]

[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]

Multiply.
(2x2 – 3x)(3x2 + 2x - 1)
A. 5x4 - 5x2 - 7x2 – 3x
B. 6x4 + 5x3 - 8x2 + 3x
C. 6x4 - 5x3 - 8x2 – 3x
D. 64 - 5x3 – 8x2 + 3x

Answers

Answer:

correct answer is D

Step-by-step explanation:

-2<3 multiple each side by -5 what is the resulting inequality

Answers

Answer:

[tex]\boxed{10>-15}[/tex]

Step-by-step explanation:

[tex]-2<3[/tex]

Multiply each side by -5.

[tex]-2 \times -5 <3 \times -5[/tex]

Switch signs when multiplying or dividing by a negative integer.

[tex]10>-15[/tex]

Answer:

10 > -15

Step-by-step explanation:

-2 < 3

We want to multiply each side by -5 and we want to see what happens:

-2 * -5 < 3 * -5

= 10 < -15

This is a wrong inequality as 10 is ahead of -15 on the number line.

please hurry!


The pie chart shows the number of students signing up for various athletic classes. Which bar diagram shows the percent of students signing up for Track and Field class?

Athletic Class Sign Up

1.) A bar diagram with 2 shaded squares and 8 unshaded squares.
2.) A bar diagram with 3 shaded squares and 7 unshaded squares.
3.) A bar diagram with 4 shaded squares and 6 unshaded squares.
4.) A bar diagram with 8 shaded squares and 10 unshaded squares.​

Answers

Answer:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Step-by-step explanation:

There are 100 students (40+15+20+25).

20 signed up for Track and Field.

20 out of 100 would equate to 20/100, or 2/10, or:

1) A bar diagram with 2 shaded squares and 8 unshaded squares.

Answer:

a

Step-by-step explanation:

the two squares are shaded and eight are not

Find all exact values of


If there are multiple solutions, list the solutions in numerical order separated by commas. If there is no solution, use Ø.
Provide your answer below:​

Answers

Answer:

General solution

 θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]

Put n=1

                θ = 210°

put n =2

               θ = 330°

put n=3  

            θ = 270°

Step-by-step explanation:

Explanation:-

Given  equation

             sin 2θ cosθ + cos 2θ sinθ = -1

we know that

Sin (A+B) = sin A cos B +Cos A sin B

      sin( 2θ+θ) = sin (180+90)

                       = [tex]Sin(\pi +\frac{\pi }{2})[/tex]

        sin 3θ = sin (3π/2)

General solution of  sinθ  = sinα

                  θ = 2 n π ±α

                  3θ = 2 n π ±3π/2

                   θ =[tex]\frac{2n\pi }{3} +\frac{3\pi }{6}[/tex]

                  θ =[tex]\frac{2n\pi }{3} +\frac{\pi }{2}[/tex]

Put n=1

                  θ=[tex]\frac{2\pi }{3} +\frac{\pi }{2}=\frac{4\pi +3\pi }{6} =\frac{7\pi }{6}[/tex] = 210°

put n =2

                  θ=[tex]\frac{4\pi }{3} +\frac{\pi }{2}=\frac{8\pi +3\pi }{6} =\frac{11\pi }{6}[/tex] = 330°

Put n=3

                  θ=[tex]\frac{2 (3)\pi }{3} +\frac{\pi }{2}=2\pi +\frac{\pi }{2} = \frac{3\pi }{2}[/tex]  = 270°

Estimate the solution to the system of equations.

Answers

Answer:

Find it in the explanation

Step-by-step explanation:

Equate the two solutions.

2x+3y=6 is exactly half of -4x+3y=12, so multiply 2x+3y=6 by 2.

Now we get

4x+6y=12 and

-4x+3y=12

Here what operation you use is your choice, but because I see a positive 4x and a negative 4x down below, I'm gonna use addition to cancel out the x.

Adding these two equations together, I get:

9y=24

y=24/9

in fraction form y= 2 and 2 thirds.

Plug that in any of the equations and solve for the value of x, which will be -1

Therefore, the coordinates are (-1, 2 and 2/3)

Answer:

The answer is x= -1/2 and y= 7/3 or 2whole 1/3.

hope it helps..

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had 350 pages left to read. I'm on Kahn so if anyone knows the answer to the question with the 4 graphs let me know.

Answers

Answer:

Total number of pages in book = 570 pages

Step-by-step explanation:

Given:

Rate of reading = 55  page per hour

Number of hour = 4 hour

Total pages remain = 350 pages

Find:

Total number of pages in book

Computation:

Number of pages read = Number of hour × Rate of reading

Number of pages read = 4 × 55

Number of pages read = 220

Total number of pages in book = Number of pages read + Total pages remain

Total number of pages in book = 220 + 350

Total number of pages in book = 570 pages

Total number is gonna =570

Jamila wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is divisible by 5? Input your answer as a decimal or fraction.

Answers

100 total numbers.

20 Numbers divisiblae by 5: 5, 10, 15, 20, 25, 30, 35,40,45,50,55,60,65,70,75,80,85,90,95,100

Probability = 20/100 = 2/10

Answer:

1/5

Step-by-step explanation:

There are total 100 numbers.

Numbers divisible by 5 through 1-100 are:

5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100

There are 20 numbers that are divisible by 5.

20/100 = 1/5

Find the area of the shape shown below.

Answers

Answer:

6[tex]cm^{2}[/tex] (assuming the units is in centimetres)

Step-by-step explanation:

Hi, hope this helps!

Method 1:

Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:

- Half the sum of the parallel sides

- Multiply the perpendicular height between them

In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).

Method 2:

Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).

- Area of the square / rectangle = length x width = 2 x 2 = 4

- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2

Then we add the two areas together (4 + 2 = 6).

I hope this helped and I wasn't waffling on :)

Bluey

Answer:6

Step-by-step explanation:

What is the result of adding these two equations?

Answers

Answer:

-5x - 8y = -5.

Step-by-step explanation:

4x + (-9x) -4y + (-4y) = -2 + (-3)

-5x - 8y = -5.

Answer:

 -5x -8y = -5

Step-by-step explanation:

The question asks us to add the equations

  4x - 4y = -2

+ -9x -4y = -3

------------------------

 -5x -8y = -5

Evaluate the following: −3 − (−2). (5 points) a. -5 B. -1 c. 1 d. -6

Answers

Answer:

B:-1

Step-by-step explanation:

-3-(-2)=-3+2=-1

Answer:

-1

Step-by-step explanation:

[tex] - 3 - ( - 2)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 3 + 2[/tex]

Here, 3 > 2 , So, we have to enter the sign of 3 which is negative.

Calculate:

[tex] - 1[/tex]

Some rules:

[tex]( + ) \times ( + ) = ( + )[/tex]

[tex]( + ) \times ( - ) = ( - )[/tex]

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex]( - ) \times ( + ) = ( - )[/tex]

Hope this helps..

Please help me ASAP!
Which of the following equations is quadratic?

( x + 3)( x + 4) = 5
5(4 x + 2) = 3
x( x∧2 + 1) = 0

Answers

Answer:

( x + 3)( x + 4) = 5  

Step-by-step explanation:

A quadratic equation is an equation with the highest power of the variable to the power of 2

( x + 3)( x + 4) = 5  

The highest power is  x^2 +3x+4x+12 =5   is x^2

Quadratic

5(4 x + 2) = 3

20x  + 10 =3

linear

x( x∧2 + 1) = 0

x^3 +x =0

Cubic

Answer:

[tex]( x + 3)( x + 4) = 5[/tex]

Step-by-step explanation:

First of all: What is a quadratic equation?

A quadratic equation is a second-degree polynomial. It means that the highest exponent must be 2.

[tex]( x + 3)( x + 4) = 5[/tex]

Using FOIL

[tex]x^2+4x+3x+12=5[/tex]

[tex]x^2+7x+7=0[/tex]

We got the answer. But just expanding the other equations given:

[tex]5(4 x + 2) = 3[/tex]

[tex]20x+10=3[/tex]

[tex]20x+7=0[/tex]

This one is a linear equation

In this case, actually there's a typo mistake, but it still understandable.

The symbol used is the logical symbol meaning AND (∧)

Of course, you meant [tex]x^2[/tex]

[tex]x(x^2+1)=0[/tex]

[tex]x^3+x=0[/tex]

This one is a cubic equation or third-degree polynomial

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+4 intersect are the solutions of the equation 2^−x = 8^x+4.

Part B: Make tables to find the solution to 2^−x = 8^x+4. Take the integer values of x between −3 and 3.

Part C: How can you solve the equation 2^−x = 8^x+4 graphically?

Answers

Answer:

See explanation

Step-by-step explanation:

A) the x-intercept is the solution because there are only x's in the equation when they are set equal to each other.

B) (-3, 8), (-3, 4)

   (-2, 4), (-2, 4)***** this is the solution

   (-1, 2), (-1, 4 1/8)

   (0, 1), (0, 5)

   (1, 1/2), (1, 12)

   (2, 1/4), (2, 68)

   (3, 1/8), (3, 516)

C) Graph them and show the intersection

See Attachment



Which linear inequality is represented by the graph?

Answers

Answer:

y ≤ (1/2)x + 2

Step-by-step explanation:

Find the equation of the solid line.  It is immediately evident that the y-intercept is (0, 2).  The line also passes through (-4, 0).  Starting at (-4, 0), x (the run) increases by 4 to 0 and y (the rise) increases from 0 to 2.  Thus, the slope of this line is m = rise / run = 2/4, or m = 1/2.

Thus the equation of the line is y ≤ (1/2)x + 2.

What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth. 160.36 feet² 184.96 feet² 190.56 feet² 200.96 feet²

Answers

Answer:

A =200.96 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi 8^2

A = 64 pi

Letting pi = 3.14

A = 64 ( 3.14)

A =200.96 ft^2

Answer:

[tex]\boxed{\mathrm{200.96 \: feet^2}}[/tex]

Step-by-step explanation:

Apply formula for the area of a circle.

[tex]area=\pi r^2[/tex]

The radius is 8 ft.

[tex]A=\pi (8)^2[/tex]

[tex]A=64\pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]A=64(3.14)[/tex]

[tex]A=200.96[/tex]

What is the y-intercept of line MN?

What is the equation of MN written in standard form?

Answers

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                        = [tex]\frac{5-0}{-3-2}[/tex]

                        = -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

the first one is : -1

the second one is: y-5 = -1 ( x + 3)

the third one is: -x + 2

the first one to the right side is: 0,2

and the second one on the right side is: x+y=2

your welcome

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