Find an equation for the line with the given properties. perpendicular to the line - 2x + 9y = - 39 containing the point (- 3, - 8)

Step-by-step explanation:

Step 1:-

Given line -2 x +9 y = -39 can be written as

...........(1)

comparing above equation y=m x+c

here

Step 2:-

Perpendicular line condition:-

two lines are perpendicular then their slopes are reciprocal

" alt="m_{2} = \frac{-1}{\frac{2}{9} }" />" />

slope of the perpendicular line is

Step 3:-

The equation of the perpendicular line is

simplify

Final answer :-

The equation of the perpendicular line is

1,918

step-by-step explanation: