Answer:
[tex]9x+5y=-20[/tex]
Step-by-step explanation:
[tex]y = \frac{5}{9} x - 4[/tex]
compare with that y=mx+c
where m=slope .
So after comparing we get m=[tex]\frac{5}{9}[/tex]
As the lines are perpendicular
[tex]m1*m2=\ -1[/tex]
[tex]m2 \ =\ \frac{-1}{m1}[/tex]
therefore m2=[tex]\frac{-9}{5}[/tex]
Now from the equation
[tex]y - b = m(x - a )[/tex] this equation passing to the point (-5,5) with m=[tex]\frac{-9}{5}[/tex]
[tex]y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20[/tex]
Therefore equation is
[tex]9x+5y=-20[/tex]
