Answer:
[tex]y = 4x - 6[/tex]
Step-by-step explanation:
The equation of line L is
[tex]4x - y = 2[/tex]
We solve for y to get;
[tex]y = 4x - 2[/tex]
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
[tex]y = 4x - 6[/tex]