Hi there!
For a line to be PARALLEL, it must contain the same slope.
The given line has a slope of 4, so we can use the point-slope formula to solve:
[tex]\large\boxed{y - y_1 = m(x - x_1)}[/tex]
y1 = y-coordinate of given point
x1 = x-coordinate of given point
m = slope
Plug in the values:
[tex]y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)[/tex]
Simplify:
[tex]y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}[/tex]
