Question

Write an equation in slope-intercept form for the line parallel to y= -7x-9 that passes through the point (4,9). Show your work. Thank you :)

Answer 1

Answer:  y=-7x + 37

Step-by-step explanation:

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

9 = -7(4) + b

9 = -28 + b

+28  +28

b = 37  

The equation will be y= -7x + 37