Intermediate Algebra

Question

Find an equation for the line parallel to y=−9x+2 and goes through the point (−2,−4). Write your answer in the form y=mx+b.

Answer 1

Parallel lines have the same slope.

 

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

y + 4 = -9x - 18

y = -9x - 22

 

Let's check.

 

-4 = -9(-2) - 22

-4 = 18 - 22

-4 = -4

0 = 0

 

At the y-intercept, x = 0

 

-22 = -9(0) - 22

-22 = -22

0 = 0

 

Check!