SOLUTION: Write an equation for the line parallel to the given line that contains C. C(3,8) y=-3x+1

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Question 618139: Write an equation for the line parallel to the given line that contains C.
C(3,8) y=-3x+1

Found 2 solutions by solver91311, lwsshak3:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The given line is in slope-intercept form, hence the coefficient on is the slope of the given line. Parallel lines have equal slopes, so use the point-slope form



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

John

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Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Write an equation for the line parallel to the given line that contains C.
C(3,8) y=-3x+1
**
equation of a straight line: y=mx+b, m=slope, b=y-intercept
slope of given line=-3
slope of line parallel to given line=-3
equation of parallel line: y=-3x+b
solving for b using coordinates of given point (3,8)
8=-3*3+b
b=17
equation: y=-3x+17

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