SOLUTION: Write an equation of the line parallel to AB that contains point C. AB: y = -5x + 12;C(-2,1)

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Question 662853: Write an equation of the line parallel to AB that contains point C.
AB: y = -5x + 12;C(-2,1)

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


Parallel lines have equal slopes, so the slope of the line that is represented by the equation you want to find is the same as the slope of the line represented by the given equation. Since the given equation is in slope-intercept form, you can determine the given slope by inspection.

Then use the point-slope form of an equation of a line to derive the desired equation:



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

John

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