Question

The equation for line bis y = -2x + 3. Line c is the result of dilating line b by a factor
of 2 with center (0, -2). What is the equation for line c?

Answer 1

Answer:

$y = - 2x + 8$

Step-by-step explanation:

The given equation is

$y = - 2x + 3$

This is the equation of line b.

We want to find the equation of line c, after b is dilated by scale factor of 2 with center (0,-2).

Note that line c and b still have the same because they are parallel.

Also the y-intercept of b is 3.

The distance of the y-intercept of line b from the center of dilation is 5.

After a dilation by scale factor of 2, the y-intercept of c will be 2(5) =10 units from the center.

The y-intercept of c will therefore be:

10+-2=8

The equation c is

$y = - 2x + 8$