SOLUTION: Find an equation of the line that is parallel to the line y=-8x+2 and that passes through the point(-7,3)

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Question 316080: Find an equation of the line that is parallel to the line y=-8x+2 and that passes through the point(-7,3)
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Parallel lines have equal slopes. So first determine the slope of the given line. The given line is in slope-intercept form so you can determine the slope of the given line by inspection of the coefficient on .

Using slope you discovered above and the given point use the point-slope form of the equation of a line:



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

Depending on your textbook or instructor's instructions as to the form of your answer you may need to rearrange it into slope-intercept form:



Or standard form:



In the absence of any instructions as to the form of your answer, the point-slope form with the appropriate values substituted is a perfectly valid form of the answer to this question.

John


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