Answer:
[tex]m_{2}= \frac{7}{5}[/tex]
Step-by-step explanation:
[tex]m_{1}=\frac{y_{2} -y_{1} }{x_{2}-x_{1}}\\ m_{1}=\frac{-5-0}{4+3}\\m_{1}=\frac{-5}{7}[/tex]
2 lines are perpendicular if their slopes meet the following condition:
[tex]m_{2}*m_{1} =-1[/tex]
solving for [tex]m_{2}[/tex] we have:
[tex]m_{2}*\frac{-5}{7} =-1\\m_{2} =\frac{-1}{\frac{-5}{7}}\\Finally\\m_{2} =\frac{7}{5}[/tex]
