Question

The equation of line h is y = -2x + 1. If line h is dilated with a scale factor of 4 with respect to the origin, what is the equation of the new line?

Answer 1

• y = -2x + 4

Explanation:

Given line h:

• y = -2x + 1

Dilated line is parallel to original, so will have same slope of -2

y-intercept will change by a scale factor of 4:

• (0, 1) → (0*4, 1*4) = (0, 4)

So the equation of the new line is:

• y = -2x + 4