Question

The slope of a line is negative for use the cordons of the labeled point to find a point-slope equation of the line.

Answer 1

For slope m and point (x₁, y₁), the point-slope equation of the line can be written as
  y -y₁ = m(x -x₁)

You have m = -4 and (x₁, y₁) = (4, -9), so the equation of your line is
  D. y+9 = -4(x-4)