Given:
The point (4,-3)
The slope -5.
To find the slope-intercept equation:
Using the formula,
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-3)=-5(x-4) \\ y+3=-5x+20 \\ y=-5x+17 \end{gathered}[/tex]Hence, the slope-intercept equation is,
[tex]y=-5x+17[/tex]