SOLUTION: write an equation of the line containing the given point and parallel to the given line. (2,-4); 9x-5y=6

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line containing the given point and parallel to the given line. (2,-4); 9x-5y=6      Log On


   

Question 258323: write an equation of the line containing the given point and parallel to the given line. (2,-4); 9x-5y=6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have identical slopes.
Find the slope of your line.
9x-5y=6
-5y=-9x%2B6
y=%289%2F5%29x-%286%2F5%29
The slope of your line is m=9/5.
Use the point-slope form of a line with point (xp, yp) and slope m:
y-yp=m(x-xp)
y-%28-4%29=%289%2F5%29%28x-2%29
5%28y%2B4%29=9%28x-2%29
5y%2B20=9x-18
-9x%2B5y=-38
9x-5y=38
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