Answer:
3x - 2y = 19
Step-by-step explanation:
y = mx + b
The slopes of perpendicular lines are opposite reciprocals:
[tex]m_{1}[/tex] [tex]m_{2}[/tex] = - 1
~~~~~~~~~~~~
2x + 3y = - 5
y = - [tex]\frac{2}{3}[/tex] x - [tex]\frac{5}{3}[/tex]
(3 , - 5 )
Slope of perpendicular line is [tex]\frac{3}{2}[/tex]
y - ( - 5) = [tex]\frac{3}{2}[/tex] (x - 3)
y + 5 = [tex]\frac{3}{2}[/tex] x - [tex]\frac{9}{2}[/tex]
y = [tex]\frac{3}{2}[/tex] x - [tex]\frac{19}{2}[/tex]
3x - 2y = 19
