Question

Can someone help me!!!

The line represented by 4y = 2x + 12 is dilated by a scale factor of k centered at the origin, such that the image of the line has an equation of y = (1/2)x + 30. What is the scale factor?

Answer 1

10

Explanation:

4y = 2x + 12

Divide both sides by 4:

y = ½ x + 3

This has a slope of ½ and a y-intercept of 3.

The other line has the same slope and a y-intercept of 30.

So the scale factor is 10.