J: y=4x+12
for this equation, you'd use y=mx+b, or slope-intercept form.
the slope is given
plug in (-3,0) into the equation and solve for b.
using (-3,0) and the slope (4), we get
0 = 4(-3) + b
Simplify!
0 = -12 + b
when isolating b, add 12 to both sides of the equation
12 = b
your equation would be y=4x+12, which is answer choice J.