Question

Which equation describes a line with a slope of -8 and includes the point (-4, 7)?

Answer 1

Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
 
Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
          x₁ = - 4
          y₁ =  7
                              ⇒  y - 7 = -8 ( x - (-4))

                              ⇒ y - 7 = -8x - 32

                              ⇒ y + 8x = - 25