Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-9,2); m = 6
The equation of the line is
(Simplify your answer. Type your answer in point-slope form.)

y - 2 = 6(x + 9)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-9, 2)

Slope m = 6

Step 2: Write Function

Substitute variables into the general form.

y - 2 = 6(x + 9)

the image of (6, 9) under a dilation is (4, 6). the scale factor is

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.