Question

What is the equation in point-slope form of the line that passes through the point (−1, −4) and has a slope of –3 ?

Answer 1

The point-slope form:

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

We have the point (-1, -4) and the slope m = -3. Substitute:

$y-(-4)=-3(x-(-1))\\\\\boxed{y+4=-3(x+1)}$