The point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
(x₁, y₁) - point
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (7, 5) and (-4, -1). Substitute:
[tex]m=\dfrac{-1-5}{-4-7}=\dfrac{-6}{-11}=\dfrac{6}{11}[/tex]
[tex]y-(-1)=\dfrac{6}{11}(x-(-4))\\\\\boxed{y+1=\dfrac{6}{11}(x+4)}[/tex]
