Question

Find the equation of the line perpendicular to 2x + 3y = -5 and

Answer 1

Answer:

3x - 2y = 19

Step-by-step explanation:

y = mx + b

The slopes of perpendicular lines are opposite reciprocals:

$m_{1}$ $m_{2}$ = - 1

~~~~~~~~~~~~

2x + 3y = - 5

y = - $\frac{2}{3}$ x - $\frac{5}{3}$

(3 , - 5 )

Slope of perpendicular line is $\frac{3}{2}$

y - ( - 5) = $\frac{3}{2}$ (x - 3)

y + 5 = $\frac{3}{2}$ x - $\frac{9}{2}$  

y = $\frac{3}{2}$ x - $\frac{19}{2}$

3x - 2y = 19