SOLUTION: Find an equation of the line that passes through the point (-2,-4) and is perpendicular to the line with equation 2x-3y-24=0
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Question 1123599: Find an equation of the line that passes through the point (-2,-4) and is perpendicular to the line with equation 2x-3y-24=0 Answer by solver91311(24713) (Show Source):
Calculate the slope of the given line by taking the additive inverse of the quotient of the coefficient on divided by the coefficient on . Calculate the negative reciprocal of that slope.
Use the negative reciprocal of the slope of the given line and the coordinates of the given point to derive the desired equation using the Point-Slope form of an equation of a line:
Where is the calculated slope and are the coordinates of the given point.
John
My calculator said it, I believe it, that settles it