SOLUTION: (8,-5);-5x-4y=3 Write an equation of a line that contains the given point and is parallel to the given line.

Algebra ->  Graphs -> SOLUTION: (8,-5);-5x-4y=3 Write an equation of a line that contains the given point and is parallel to the given line.      Log On


   



Question 30654: (8,-5);-5x-4y=3
Write an equation of a line that contains the given point and is parallel to the given line.

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
(8,-5)
-5x-4y=3
Solve for y
+-5x-4y=3+
+-4y=5x%2B3+
+y=+-5x%2F4-3%2F4+
Parallel means same slope. plug in slope and points and solve for b.
+y=mx%2Bb+
+-5=%28-5%2F4%29%288%29%2Bb+
+-5+=+-10+%2B+b+
+5+=+b+
Plug slope and b back into y=mx+b
+y=mx%2Bb+
+y=%28-5%2F4%29x+%2B5+
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-5x%2F4-3%2F4%2C+%28-5%2F4%29x+%2B5+%29+