SOLUTION: write an equation that satisfies the given conditions. parallel to y=5x-2,through,(2,-1) The answer is y=5x-11. Since it has the answers in the back. I need someone to explain

Algebra ->  Equations -> SOLUTION: write an equation that satisfies the given conditions. parallel to y=5x-2,through,(2,-1) The answer is y=5x-11. Since it has the answers in the back. I need someone to explain       Log On


   

Question 71658: write an equation that satisfies the given conditions.
parallel to y=5x-2,through,(2,-1)
The answer is y=5x-11. Since it has the answers in the back.
I need someone to explain step by step the process.
PLEASE HELP . HUGE TEST TOMORROW.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel to y=5x-2 means it has the same slope
The equation is in the form y+=+mx+%2B+b where m=slope
m=5
The parallel line goes through (2,-1)
Use the point-slope formula
%28y+-+%28-1%29%29+%2F+%28x+-+2%29+=+5
y+%2B+1+=+5%28x+-+2%29
y+%2B+1+=+5x+-+10
y+=+5x+-+11
The slope is 5, correct. Does it go through (2,-1)?
-1+=+5%2A2+-+11
-1+=+-1
OK