Answer :
If the function intersects the x-axis at -5, we have the point (-5, 0).
If the function intersects the y-axis at -3, we have the point (0, -3).
Then, we can use these points in the slope-intercept form of the linear equation:
[tex]y=mx+b[/tex]Using the points, we have:
[tex]\begin{gathered} (0,-3)\colon \\ -3=0m+b \\ b=-3 \\ \\ (-5,0)\colon \\ 0=-5m-3 \\ 5m=-3 \\ m=-\frac{3}{5} \end{gathered}[/tex]So the equation of the function is:
[tex]y=-\frac{3}{5}m-3[/tex]