SOLUTION: This equation is parallel to the line y=5x-7 and goes through the point (-2, -12)What is this equation in y=mx+b form?

Algebra ->  Linear-equations -> SOLUTION: This equation is parallel to the line y=5x-7 and goes through the point (-2, -12)What is this equation in y=mx+b form?      Log On


   

Question 757686: This equation is parallel to the line y=5x-7 and goes through the point (-2, -12)What is this equation in y=mx+b form?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
ANY line parallel to y = 5x - 7 will have a slope of 5 (since parallel lines have equal slopes)

So m = 5

The given point is (-2, -12), so x = -2 and y = -12

Now turn to y = mx+b form, plug in that given info, then solve for b to find the equation

y+=+mx%2Bb

-12+=+%285%29%28-2%29%2Bb

-12+=+-10%2Bb

-12%2B10+=+b

-2+=+b

b+=+-2

So the equation of the parallel line is y+=+5x-2