SOLUTION: write an equation for the line parallel to y=7x plus 14 that contains P(3,-7)

Algebra ->  Points-lines-and-rays -> SOLUTION: write an equation for the line parallel to y=7x plus 14 that contains P(3,-7)      Log On


   

Question 287665: write an equation for the line parallel to y=7x plus 14 that contains P(3,-7)
Answer by texttutoring(324) About Me  (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