Find the equation of the line, in slope-intercept form, that passes through the points (2, 9) and (3, 7). Show all work.
(20 POINTS)

Answers

Answer 1
Slope: (y2-y1)/(x2-x1)
(7-9)/(3-2) = -2/1 = -2
Y = mx + b
Plug everything in
Y = -2x + b
9 = -2(2) + b
9 = -4 + b, b = 13
Equation: y = -2x + 13

Related Questions

Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1

Answers

Answer:

x = 1[tex]\frac{1}{6}[/tex], y = 3[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

y = -2x + 6 --- Equation 1

y = 4x - 1 --- Equation 2

Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.

-2x + 6 = 4x - 1

Isolate the like terms.

6 + 1 = 4x + 2x

Evaluate like terms.

6x = 7

Find x.

x = [tex]\frac{7}{6}[/tex]

x = 1[tex]\frac{1}{6}[/tex]

Substitute x = [tex]\frac{7}{6}[/tex] into Equation 2:

y = 4x - 1

y = 4([tex]\frac{7}{6}[/tex]) - 1

  = 4[tex]\frac{2}{3}[/tex] - 1

y = 3[tex]\frac{2}{3}[/tex]

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So this is a work in progress, sorry Fundy looks weird, this is their reaction to Tommy getting exiled- again

Answers

Answer:

it looks decent just give it make it more detailed otherwise it looks good

Answer:

your drawing is good but I can't understand your ques

Solve the inequality for w.

5 (w – 3) < 5W + 20

Answers

Answer:

All real solutions

Step-by-step explanation:

5w - 15 < 5w + 20

subtract 5w from both sides

-15 < 20

since it is true and there are no variables left. all real solutions will make this true

Answer:

w < w + 7

Step-by-step explanation:

5w-15 < 5w+20

divide all by 5 =

w < w + 7

Write an expression equivalent to 4(6x + 12), and state the property you used to write it.

Answers

Answer:

4(6x) + 4(12) Used distributive property

Step-by-step explanation:

Answer:

distributive property

Step-by-step explanation:

4(6x) + 4(12) Used distributive property

could you help me with this

Answers

I would say the 3rd option because it’s showing the enthusiasm in their voices by adding the exclamation mark

Write an inequality for the graph.
The image is of a number line on which a line is drawn to the left of number -0.5 excluding it.

Answers

Answer:

hi .................

Answer pls i need the answer ASAP if you know then pls answer i beg of you.

Answers

Answer:

A 19.8

Step-by-step explanation:

Solve the system of equations - x - y = 6 and 5x -7y=66 by combining the equations

Answers

Answer: Let's solve for x.

−x−y=6

Step 1: Add y to both sides.

−x−y+y=6+y

−x=y+6

Step 2: Divide both sides by -1.

−x

−1

=

y+6

−1

x=−y−6

Answer:

x=−y−6

Let's solve for x.

5x−7y=66

Step 1: Add 7y to both sides.

5x−7y+7y=66+7y

5x=7y+66

Step 2: Divide both sides by 5.

5x

5

=

7y+66

5

x=

7

5

y+

66

5

Answer:

x=

7

5

y+

66

5

Step-by-step explanation:

Simplify the expression use the screen shot

Answers

Answer:

(a/b)^k=a^k/b^k

Step-by-step explanation:

Using the laws of exponents, we know that (a/b)^k=a^k/b^k.

I couldn't get it to format correctly so just know that the "/" are for the fraction signs and the "^" is for the exponent marking.

Answer:

a^k / b^k

Step-by-step explanation:

You have to use the properties of the powers.

I need help asap I will give you brainlest

Answers

Answer:

Y=2

Step-by-step explanation:

YW thanks!

It is y=x + 2 because as x increases y increases also

Ok so I really need help! Question:What is the percent of change from 70 to 21? Anwser Choices: A. 70% Decreace B. 49% Decreace C. 70% increase 49% increase

Answers

Answer:

A. 70% Decrease

Step-by-step explanation:

Before we find the percentage decrease, we need to find the difference first.

Difference = 70 - 21

                  = 49

Difference percentage = [tex]\frac{49}{70}[/tex] × 100%

                                      = 70%

4. A hot air balloon hovers 100 feet about the ground. The balloon is tethered to the ground with a
rope that is 250 feet long. At what angle of elevation, is the rope attached to the ground? Round
you answer to the nearest degree.

Answers

Answer:

[tex]\theta=24^\circ[/tex]

Step-by-step explanation:

Trigonometry and Right Triangles:

The ratios of the sides of a right triangle are called trigonometric ratios. Any angle or side length can be calculated using the appropriate trigonometric ratio.

Please refer to the image below. The balloon is 100 feet high and the rope has a length of 250 feet. The right triangle formed allows us to apply a trigonometric ratio that relates the two given side lengths: the hypotenuse and the opposite leg to angle θ.

The sine ratio is defined as:

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin\theta=\frac{100}{250}=0.4[/tex]

[tex]\displaystyle \sin\theta=0.4[/tex]

Calculating θ:

[tex]\theta=\arcsin 0.4[/tex]

[tex]\theta=23.6^\circ[/tex]

To the nearest degree:

[tex]\mathbf{\theta=24^\circ}[/tex]

A cell phone plan costs $200 to start, then charges $50 per month to maintain the account. How much will you pay for x months of cell phone use?

How much money will you have paid (total) after 14 months of cell phone service?
NEED HELP ASAP DUUE AT 4:00 pm EST

Answers

Answer:

$900

Step-by-step explanation:

add 200 to 50 times 14

Answer:

900

Step-by-step explanation:

200+50(14)

200+700

900

Joshua chose a mystery number. His mystery number is a factor of 42. Which number could be Joshua's mystery number?
A). 5.
B). 3.
C). 4.
D). 9.

Answers

Answer:

c. 3

Step-by-step explanation:

5 can only have factors like 10, 15. 4 is not it because 4x10 is 40 and it cant be 42 and then 9x5 is 45. Your welcome. Pls mark brainliest :)

What is the 9th term in the geometric sequence?
a(n)=-6⋅(2)^(n-1)

A. -1536
B. 1536
C. 3072
D. -3072

Answers

The first one will be your answer

A dolphin is 9 feet below the surface of the ocean. If its position can be recorded as −9 feet, what would the position of 0 represent? HURRYYYYYYYYY

Answers

Answer:

the sea line

I am guessing

Step-by-step explanation:

Answer: I think it will the surface of the water

f(x) = 4/5x - 2
Find f(3)
[?

Answers

Answer:

f(3) = 2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4/5x - 2

f(3) is x = 3

Step 2: Evaluate

Substitute:                    f(3) = 4/5(3) - 2Multiply:                        f(3) = 12/5 - 2Subtract:                       f(3) = 2/5

Answer: 2/5

Step-by-step explanation:

We need to replace x with 3

f(x)= 4/5*(3)-2= (12/5)-2=(12-10)/5= 2/5

help me please it's due at 10:00​

Answers

Answer:

Step-by-step explanation:

1.

-3 + 8x ≥ 21

+3            +3

8x ≥ 24

divide both sides by 8

x ≥ 3

2.

d is false, because when you plug 5 in for x the solution would come out to be 19 < 17

Hope this helps!!! happy holidays!!

Answer:

1. x ≥ 3

2. d. 5

Step-by-step explanation:

pls help i will give 15 brainly points

Solve for 0​

Answers

Answer:

24.15°

Step-by-step explanation:

sinΦ = 18/44

Φ= 24.15°

fasttt ans nthis plsssssssssssssssssssssss

Answers

The answer is 12.5. You take the average of the boys and the average of the girls add them and then divide.

An online furniture store sells chairs for $200 each and tables for $750 each.
Every day, the store can ship a maximum of 16 pieces of furniture and must
sell at least $6000 worth of chairs and tables. If x represents the number of
tables sold and y represents the number of chairs sold, write and solve a
system of inequalities graphically and determine one possible solution.

Answers

So I hope this helps and is exactly what you are looking for

Which equation has a solution of x = 2? Choose ALL that apply.
A.)-2(x – 4) = 4
B.)26/x=13
C.)4(x - 1) - 3(x - 2) = -8
D.)6x - 4x = 6

Answers

Answer:ibbhbh

Step-by-step explanation:

iiii

Maria earns $40 washing 5 cars. At this rate, how much does Maria earn washing 6 cars?​

Answers

Answer:

$240

Step-by-step explanation:

40 x 5 = 200

40 x 6 = 240                  (basically just adding forty dollars)

The equation, y = 36/x, is an example of what kind of variation?
a.) direct variation
b.) inverse variation

Answers

Answer: Inverse variation

17. 2x2+ 71 = -163
19. -4x2 - 3 = 481
Directions: The roots of a quadratic equation

Answers

Answer: ayo i will do this tmrw just comment on here so i can go back and do this

Step-by-step explanation:

Alya loves to read. She read 90 pages in half an hour. How many pages does she read per minute?

Answers

Answer: 3

90 pages in 30 minutes so divide 90 by 30 and 90 divided 30 = 3

Hope this helps!

Answer: 3

Step-by-step explanation:

Step 1: Divide 90 by 30

Step 2: 90 divided by 30 = 3

What is the correct value of x?

Answers

Answer:

x= -5

Step-by-step explanation:

First get X alone by dividing both sides by -4.2

-4.2x=21

-4.2. -4.2

then you're left with X = -5

To verify your answers, multiply -5 by -4.2

Does anyone know the answer

Answers

Answer:

the answer is d

Step-by-step explanation:

For 55 you times the average by the time it took and you get 55 same with kick 2 so kick 3 would be 2 seconds because 15 times 2 is 30

the answer is d sorry if i am late !

The line models the cost of renting a bike. It costs​ $2 per hour plus a​ $4 deposit. Write an equation in​ slope-intercept form for the line where x is the number of hours a bike is rented and y is the total cost of renting a bike.

Answers

y=2x+4 because $2 per hour and then adding your $4 deposit

The equation of the line will be written as y=2x+4 because $2 per hour and then adding your $4 deposit.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line models the cost of renting a bike. It costs​ $2 per hour plus a​ $4 deposit.

The equation of the line is,

y = 2x + 4

Here,  $2 per hour and then add your $4 deposit.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

What is the slope of the line?

Answers

Answer:

-3/2

Step-by-step explanation:

Rise/run

You count down/up however many until the line hits another point, and then go across until it matches. So I counted down 3 squares and over 2, and since it is going down it is negative.

I hope this helps :)

Answer:

all endjsj

dhsieosjskso

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