Question

1. Line L mapped onto line M by a dilation centered

at the origin with a scale factor of 3. The equation
of line L is 4x - y = 2. Determine and state an
equation for line m.

Answer 1

`y = 4x - 6`

Explanation:

The equation of line L is

`4x - y = 2`

We solve for y to get;

`y = 4x - 2`

This line is mapped onto line M by a dilation centered at the origin with a scale factor of 3.

Line M will also have the same slope as line L.

Only the y-intercept will change.

The y-intercept of L is (0,-2).

The y-intercept of M will be (0,-6) because we multiplied each by 3.

The equation of line M is

`y = 4x - 6`