Given that slope = -1 and a point (3,-1), write an equation in slope-intercept form of the line?

Answers

Answer 1

Answer:

Step-by-step explanation:

point-slope equation of the line: y+1 = -(x-3)

rearrange to solve for y:

y+1 = -x+3

y = -x + 2   slope-intercept form

Answer 2

Answer:

y = -x + 2

Step-by-step explanation:

We are given that a line has a slope of -1 and passes through the point (3, -1)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are already given the slope, we can immediately plug its value into y=mx+b.

Replace m with -1 in y=mx+b.

y = -x + b (there's no need to write -1 in front of x. If -1 is the coefficient in front of a variable, just writing a minus sign in front of the variable is enough).

Now we need to find b.

As the equation passes through the point (3, -1), we can use it to help solve for b.

Substitute 3 as x and -1 as y.

-1 = -3 + b
Add 3 to both sides

2 = b

Substitute 2 as b in the equation so far.

y = -x + 2

Topic: finding the equation of the line (in slope-intercept form).

See more: https://brainly.com/question/22448557


Related Questions

Which fraction would make this equation true? 4x ? = 6 2/3

Answers

Divide 6 2/3 by 4 and you get an x value of 1.67 to double check the answer we can multiply 1 2/3 by 4 and we get 6 2/3


Find the area of the shaded section.
3 cm
9 cm
7 cm
16cm​

Answers

Answer:

The area of the shaded portion is 123 cm^2

Step-by-step explanation:

Here, we want to find the area of the shaded portion

To find this, we subtract the area of the smaller inner rectangle from that of the outside bigger one

Mathematically, the area of a rectangle at any point in time is length * width

For the bigger one, we have;16 * 9 = 144 cm^2

For the smaller inner one, we have ;3 * 7 = 21 cm^2

The area of the shaded portion which is the difference is;

144-21 = 123 cm^2

of 4 Tom is applying for a visa
He has to pay £2,100 for the visa as well as a 8% charge on the visa price for an on-the-day
service If Tom has 1 year to save, how much money should he save per month to be able to cover his
costs?
Round your answer to the nearest £10.​

Answers

Answer:

190

Step-by-step explanation:

0.08 × 2100 = 168

168 + 2100 = 2268

2268 ÷ 12 months = 189

With rounding, the answer is 190 per month

What is the value of x2?
(5x)
0 14
110
110
017
70

Answers

Answer: 14

Step-by-step explanation:

110 + 110 + 70 + 5x= 360 ( total number of angles in a quadrilateral is 360 degrees)

290+5x= 360

5x= 360 - 290= 70

x= 70/5= 14

Yes it would be 14 because that would be the x2 around it

please help! algebra homework

Answers

Answer:

1: y=3/4x-2

2: y=-2x-5

3: y=7x+6

4: y=2x+1

HOPE I HELPED:)

Step-by-step explanation:

5. A softball has a diameter of 8.3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet long, and 5 feet high?

Answers

Answer:

4329 softballs

Step-by-step explanation:

To find the number of softballs that will fit into the container, we first find the volume of the softball. Since it is a sphere, its volume V = 4πr³/3 where r = radius = d/2 where d = diameter of softball.

So, V = 4π(d/2)³/3 = πd³/6

Since d = 8.3 in,

V =  πd³/6 =  π(8.3 in)³/6 = π × 571.787 in³/6 = 299.39 in³

The volume of the box, V' = 15 × 10 × 5 ft³ = 750 ft³ = 750 × (12 in)³ = 750 × 1,728 in³ = 1,296,000

So, for n softball to fit, its volume must equal the volume of the storage unit.

The volume of n softballs is nV.

For the softballs to fit, V' = nV

n = V'/V

= 1,296,000 in³/299.39 in³

= 4328.8 softballs

≅ 4329 softballs since we cannot have a decimal number of softballs.

Tell whether (-8,2) is a solution of -x-6y>12

Answers

Answer:

it ain't

Step-by-step explanation:

x = -8

y = 2

-(-8) - 2(6) > 12

8 - 12 > 12

-4 > 12

This is incorrect

5/5
1.) The solution of a system of linear
equations is (4.2).
Draw two lines that could represent
this system of equations.

Answers

Answer:

Please give brainlliest thanks! :)

Which algebraic expression represents “the quotient of 7 and a number”?

Answers

Answer: D

Step-by-step explanation: its best you can get to the a quotient (from Latin: quotiens "how many times", pronounced) is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division (in the case of Euclidean division), or as a fraction or a ratio (in the case of proper division). For example, when dividing 20 (the dividend) by 3 (the divisor), the quotient is 6 in the Euclidean division sense, and 62/3 in the proper division sense.

Four less than a number is twelve

Answers

the answer to this is 16

can someone please help with the question I have listed, thank you!

Answers

Answer:

Ok i will try if i can do it

Solve for xxx in each of the figures below and mark the correct value.
​Assume that the lines are parallel.

Answers

Answer:

Picture 1:

12x+1=109

12x=108

x=9

Picture 2:

2x-3=57

2x=60

x=30

Let me know if this helps!

after 7 years, an initial investment of $600 earned $84. Find the interest rate

Answers

Answer:

2%

Step-by-step explanation:

Solving our equation

r = 84 / ( 600 × 7 ) = 0.02

r = 0.02

converting r decimal to a percentage

R = 0.02 * 100 = 2%/year

The interest rate required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

over 7 years is 2% per year.

The ratio of potatoes to carrots in a vegetable cart is 1:1. If there are 473 carrots, how many potatoes are there?

Answers

Answer:

473 potatoes

Step-by-step explanation:

473/1 = 473

(Plus anything times/divided by 1 equals itself)

so 1:1 x 473:473 = 473:473

Therefore there are 473 potatoes

Answer:

473 potatoes

Step-by-step explanation:

The ratio is 1:1, meaning that for every carrot, there is a potato.

Write a rational function for the given scenario. There may be more than one correct answer.

Question 1. X-intercept: none
Vertical Asymptote: X = -3
Horizontal Asymptote: y = 0

Question 2. X-intercept: none
Vertical Asymptote X=2 & x= -2
Horizontal Asymptote: y = 0

Question 3 x-intercept: (3,0) & (-3,0) Vertical Asymptote: X=-1 & x= -4
Horizontal Asymptote: y = 1

Question 4. X-intercept: (-2, 0)
Vertical Asymptote: X = 4 & x=-5 Horizontal Asymptote: y=0

Need to make a rational function for each question.

Answers

Answer:

Q1:     [tex]\frac{1}{x+3}[/tex]

Q2:     [tex]\frac{1}{(x-2)(x+2)}[/tex]

Q3:     [tex]\frac{(x-3)(x+3)}{(x+1)(x+4)}[/tex]

Q4:     [tex]\frac{x(x+2)}{(x-4)^{2}(x+5) }[/tex]

Step-by-step explanation:

If there is a vertical asymptote at x=k, then the denominator must contain a term (x-k) or (x-k) raised to a positive integer power.

If there is an x intercept at k, then the numerator must contain a term (x-k) or (x-k) raised to a positive integer power.

If there is a horizontal asymptote of 0, then the highest power of x in the denominator must exceed the highest power of x in the numerator.

If thee is a horizontal asymptote of k, then the highest power of x in the numerator and denominator must be the same and the ratio of their coefficients (numerator to denominator) must be k.

CAN SOMEONE PLEASE WRITE AN EQUATION FOR THAT LINE? THIS IS THE 4th TIME I POSTED IT PLEASE SOMEONE HELP!!$

Answers

Answer: y= [tex]\frac{-3}{1}[/tex]x-4

Step-by-step explanation:

y=mx+b

slope= -3/1

y intercept (the y intercept is where the line intercepts the y axis) = -4

y= [tex]\frac{-3}{1}[/tex]x-4

I am not a professional, simply using prior knowledge.

Note- It would mean the world to me if you could mark me as brainliest!

An online game store charges a $20 membership fee and $2.50 for each downloaded game. Write an
equation to model this situation Ifa new member paid the store $67.50 in the last three months, how
many gentes were downloaded?

Answers

Answer:

3?

Step-by-step explanation:

First I added 20 dollars to 2.50 and I got 22.50 than  I divided 67.50 / 22.50 which gave me 3, so I guess the answer is 3. Hope this helped!

Factor yz + 6 + y +6z.
z + 1)(y + 6)
(z - 1)(y + 6)
(z + 6)(y - 1)

Answers

The answer is the first one: (z+1)(y+6).

Explanation:

yz + 6 + y + 6z

= yz + y + 6 + 6z

= y(z+1) + 6(1+z)

= (z+1)(y+6)

For (z+1), you can also write (1+z), it doesn’t matter.

Hope it helps!

How many distinct permutations can be made from the letters of the word

“INDEPENDENCE”?


if anyone could answer, thank you (^-^)​

Answers

Answer:

360

Step-by-step explanation:

Word INDEPENDENCE has I−1, N−3, D−2, E−4, P−1, C−1

There are six different letters in INDEPENDENCE

Now according to the question, we need to form 4 different letter words, So the selection of 4 words out of 6 is  

[tex]^{6}C _{4}[/tex]

 and making its arrangements

So total number of ways is  

[tex]^{6}C _{4}[/tex] ×4!=360

The number of distinct permutations can be made from the letters of the word “INDEPENDENCE” is; 1663200

We are given the word INDEPENDENCE and it has;

I − oneN - threeD − twoE - fourP - oneC - one

Thus, we see that there are six different letters and 12 letters in total in INDEPENDENCE

Now from the question, the distinct permutations that can be formed is;

12!/(3! × 2! × 4!) = 1663200

Read more on permutations at; https://brainly.com/question/12468032

Desmond plays 30 minutes of soccer each day. How many seconds of soccer does Desmond play in 6 days?

Answers

Answer:Desmond will play for 10800 seconds  in 6 days

Step-by-step explanation:

In a Day Desmond plays soccer = 30 minutes

In 6 days, he will play = 6 x 30 = 180 minutes

Changing 180 minutes to seconds

we know that 60 second s= 1 minutes

  Therefore   ??  seconds = 180 minutes

180 x 60 =10800 seconds

(i need a fast answer) On a coordinate plane, point G is at (2, 8), point H is at (10, 10), point I is at (10, 0), and point J is at (6, negative 4). Which side has a length of 10 units?
HG
GJ
HI
IJ

Answers

I think the answer is H-I

Answer:The guy above me is correct you can give him brainlest.

Have a great day!

8 less a number is less than or equal to 17

Answers

Answer:

less than

Step-by-step explanation:

8 is less than 17

Answer :n ≤ 25

Step-by-step explanation:

n - 8 ≤ 17

n - 8 (+8) ≤ 17 (+8)

n ≤ 25

n ≤ 25 is your answer

help me

Marcie Bruno received a 4.2% merit increase and a 2.75% cost-of-living increase
after her quarterly review. Her new weekly salary was $788.92. What was her
weekly salary prior to the increases?

Answers

Answer:

734.1

Step-by-step explanation:

100%=788.92

4.2%=33.13

2.75%=21.69

33.13+21.69=54.82

788.92-54.84=734.1

Some number subtracted by -6 is 41. Multiply this number by-3. Then divide
this number by -4. What is the final number?

Answers

-6-x=41
x=-47 times -3
=141 divided by -4 =35.25

look at the pic~ find the area of the figure please ​

Answers

Answer:

164 m^2

Step-by-step explanation:

14*11=154

5*2=10

10+154=164

A fishing boat is hauling up a lobster trap. A machine called a winch pulls the trap up at a constant rate of 85 feet per minute.

Each ordered pair below represents a number of minutes elapsed, t, and a number of feet the lobster trap has traveled, d.

Which ordered pairs represent the correct relationship between distance and time? Select all that apply.
A.
(1,85)
B.
(0.85,1)
C.
(0.2,17)
D.
(3.5,297.5)
E.
(4,350)

Answers

Answer:

A, C, D

Step-by-step explanation:

We know that velocity is 85 feet/minute, and distance is velocity * time, so we can multiply 85 by time to see if it equals the output

(A) 1*85-85

(B) 0.85*85 = 72.75

(C) 0.2*85 = 14

(D) 3.5*85 = 297.5

(E) 4* 85 = 340

A, C, and D match up

i’ll give brainly i need 2 answers

Answers

Answer:

Step-by-step explanation:

15%(p)

yooo could I get some help with this math hw, im being timed so tysm if u can help:))
a triangle has side lengths of 2 meters, 11 meters, and 11 meters. classify the triangle by the lengths of its sides.

isosceles triangle
equilateral triangle
scalene triangle
obtuse triangle

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

Equilateral: All equal sides

Isosceles: 2 equal sides

Scalene: No equal sides

6. You have $1.95 in quarters and dimes. You have 12 total coins. How many of each denomination

do you have? IS

Answers

Step-by-step explanation:

d+q =12

.25q + .10d = 1.95

d = 12-q

substitute

.25q + .10(12 -q) =1.95

.25q + 1.2 - .1q = 1.95

.15q = .75

q = 5. quarters

d + 5 = 12

d = 7 dimes

Answer:

5 quarters and 7 dimes

Step-by-step explanation:

5 quarters = $1.25

7 dimes = $0.70

7 + 5 = 12

$1.25 + 0.70 = $1.95!!

I hope this helped :)

Also, this answer was calculated by g00gle.

Plsss help plssssssss

Answers

The answer is (2,6)
X:2
Y:6

Answer:

x = 2

y = 6

Step-by-step explanation:

We have a system of equations and are asked to solve for x and y.

y = -2x + 10

y = 3x

Since both equations start with y, we can subtitute.

3x = -2x + 10

Solve for x :

Add 2x to both sides :

5x = 10

Divide 5 from both sides :

x = 2

Now substitute x in the second equation because it's more easier :

y = 3(2)

3(2)

6

y = 6

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