SOLUTION: A line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 what is the equation of the line?

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Question 480586: A line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9
what is the equation of the line?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Line perpendicular to the line:

 -2x+y=9  OR y = 2x+ 9 slope m = 2

New Line: y = mx + b

 y = (-1/2)x + b   |Has a slope that is the negative reciprocal of m = 2

 y = (-1/2)x + b  |Using Pt(-2,-5) to solve for b

-5 = (-1/2)*-2 + b

 -6 = b 

Equation of the new Line is y = (-1/2)x - 6