SOLUTION: a. Write an equation of the line which goes through (2,-3) ad is perpendicular to the line -2x + y = -17 . b. Write an equation of the line which goes through (.4,11) and is par

Algebra ->  Linear-equations -> SOLUTION: a. Write an equation of the line which goes through (2,-3) ad is perpendicular to the line -2x + y = -17 . b. Write an equation of the line which goes through (.4,11) and is par      Log On


   



Question 772545: a. Write an equation of the line which goes through (2,-3) ad is perpendicular to the line -2x + y = -17 .
b. Write an equation of the line which goes through (.4,11) and is parallel to the line y + 3/4x - 22 .

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Parallel lines have equal slopes. Perpendicular lines have negative reciprocal slopes. Calculate the slope of the line represented by the given equation, then using either that calculated slope or its negative reciprocal depending on whether you are looking for a parallel or perpendicular, and the given point, use the point-slope form of an equation of a line to derive the desired equation.

Point-slope Form:



where are the coordinates of the given point and is the calculated slope.

Note that Problem b cannot be solved as written since the expression given is not an equation and therefore does not actually represent a line. It has to have an equals sign in it in order to be an equation. (hence the name equation)

John

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