Answer:
[tex]y=-\frac{5}{3}x+4[/tex]
Step-by-step explanation:
To write down a line that is perpendicular to one line, make sure that their slopes give a product of -1:
[tex]\frac{3}{5}*m_2 =-1\\m_2=-\frac{5}{3}[/tex]
Write down an equation in the point-slope form and replace everything in and simplify:
[tex]y_2-y_1=m(x_2-x_1)\\y-(-1)=-\frac{5}{3} (x-3)\\y+1=-\frac{5}{3}x+5\\y=-\frac{5}{3}x+4\\[/tex]
