Answer: We need to find the equation of the line, in slope y-inercept form. we are provided with the following.
[tex]\begin{gathered} P(-8,-4) \\ m=\frac{5}{2} \end{gathered}[/tex]
The equation in y-intercept form is as follows:
[tex]\begin{gathered} y(x)=\frac{5}{2}x+b \\ \rightarrow p(-8,-4)\rightarrow\therefore\rightarrow \\ -4=\frac{5}{2}(-8)+b\rightarrow b=-4+\frac{40}{2}=\frac{-8+40}{2}=\frac{32}{8}=4 \\ \therefore\rightarrow \\ y(x)=\frac{5}{2}x+4 \end{gathered}[/tex]
