Question

Find the equation of the line parallel to y = -4x - 3 and passing through the point (-2, 7)

Answer 1

With parallel lines, the slope is the exact same which means for our new equation our slope will be -4. Now all we have to do is put this into point-slope.

y-y1=m(x-x1) [Now we will pluck the coords into the equation]
y-7=-4(x-(-2)) [The --2 becomes +2 and we distribute]
y-7=-4(x+2)
y-7=-4x-8 [Now we add 7 to both sides and get]
y=-4x-1