SOLUTION: Equation of line (-2,6) and parallel to y=5x+12

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Question 1210277: Equation of line (-2,6) and parallel to y=5x+12
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Parallel lines have the same slope.

The slope of the line with the given equation is 5; the slope of the parallel line will be 5.

The equation of the parallel line will be of the form y=5x+b.

To find the equation of the line parallel to the given line passing through the given point (x,y)=(-2,6), substitute those x and y values in the general equation and solve for b.

y = 5x+b
6 = 5(-2)+b
6 = -10+b
16 = b

ANSWER: The equation of the line parallel to the given line and passing throught the given point is

y = 5x+16