SOLUTION: Write an equation of the line containing the given point and parallel to the given line? (-8,5)4x=5y+3.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Write an equation of the line containing the given point and parallel to the given line? (-8,5)4x=5y+3.      Log On


   

Question 312682: Write an equation of the line containing the given point and parallel to the given line? (-8,5)4x=5y+3.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Put the line in slope-intercept form, y=mx%2Bb
+4x=5y%2B3
5y=4x-3
y=%284%2F5%29x-3%2F5
Parallel lines have identical slopes.
The slope for the given line is m=4%2F5
Use the point-slope form of a line with the point (-8,5),
y-yp=m%28x-xp%29
y-5=%284%2F5%29%28x-%28-8%29%29
y-5=%284%2F5%29x%2B32%2F5
y=%284%2F5%29x%2B32%2F5%2B25%2F5
y=%284%2F5%29x%2B57%2F5
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or in standard form,
5y=4x%2B57
-4x%2B5y=57