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Question 287665: write an equation for the line parallel to y=7x plus 14 that contains P(3,-7)
Answer by texttutoring(324)   (Show Source):
You can put this solution on YOUR website! I assume you mean that the equation of the line is y=7x+14
If so, we can use the Equation of a Line: y=mx+b, where m is slope and b is the y-intercept.
Parallel Lines have equal slopes, so our parallel line will also have a slope of m=7. Now we have to find the y-intercept for the new line:
We know it passes through (3,-7), so x=3 and y=-7.
y=mx+b
-7=7(3)+b
-7=21+b
-28=b
The new line has equation: y=7x-28
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