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

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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

it has the same slope and a different y-intercept

hope this : )