Two lines are perpendicular if the multiplication of their slopes is equal to -1.
The slope of y=3/5x+10 is 3/5. Then a line perpendicular will have the next slope:
[tex]\begin{gathered} m\cdot\frac{3}{5}=-1 \\ m=-1\cdot\frac{5}{3} \\ m=-\frac{5}{3} \end{gathered}[/tex]The only possible answer with this slope is:
D) y=-5/3x+20
which has a y-intercept of 20
