The slope-point form:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (4, 5) and (-3, -1). Substitute:
[tex]m=\dfrac{-1-5}{-3-4}=\dfrac{-6}{-7}=\dfrac{6}{7}[/tex]
For point (4, 5):
[tex]y-5=\dfrac{6}{7}(x-4)[/tex]
For point (-3, -1):
[tex]y-(-1)=\dfrac{6}{7}(x-(-3))\\\\y+1=\dfrac{6}{7}(x+3)[/tex]
