The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 24) and (7, -53). Substitute:
[tex]m=\dfrac{-53-24}{7-(-4)}=\dfrac{-77}{11}=-7[/tex]
The first point is (-4, 24) → x₁ = -4 and y₁ = 24.
Substitute:
[tex]y-24=-7(x-(-4))\\\\\boxed{y+(-24)=-7(x+4)}[/tex]
