Question

which equation is the standard form equation of the line that passes through the point (-2,0) and has a slope of 4

Answer 1

The standard form of a line:

$Ax+By=C$

The slope-point formula:

$y-y_1=m(x-x_1)$

We have (-2, 0) and m = 4.

Substitute:

$y-0=4(x-(-2))\\\\y=4(x+2)\\\\y=(4)(x)+(4)(2)\\\\y=4x+8\qquad|-4x\\\\-4x+y=8\qquad|\cdot(-1)\\\\4x-y=-8$