SOLUTION: Write and equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (-5,9);8x=5y+7

Algebra ->  Systems-of-equations -> SOLUTION: Write and equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b. (-5,9);8x=5y+7      Log On


   

Question 160012: Write and equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b.
(-5,9);8x=5y+7
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
y=mx+b.
(-5,9);8x=5y+7
5Y=8X-7
Y=8X/5-7/5 (RED LINE)THIS LINE HAS A SLOPE(m)=8/5.
THE LINE THROUGH (-5,9) & PARALLEL TO THIS LINE ALSO HAS A SLOPE=8/5. tHUS:
9=8/5*-5+b
9=8*-5/5+b
9=-40/5+b
9=-8=b
b=9+8
b=17
THUS THE LINE EQUATION FOR THIS LINE IS:
Y=8X/5+17 (GREEN LINE).
+graph%28+300%2C+300%2C+-10%2C+20%2C+-10%2C+20%2C+8x%2F5+-7%2F5+%2C+8x%2F5+%2B17%29+ (graph 300x300 pixels, x from -10 to 20, y from -10 to 20, of TWO functions 8x/5 -7/5 and 8x/5 +17).