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

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

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 Click here to see ALL problems on Coordinate-system Question 294629: write an equation of the line containing the given point and parallel to the given line.(6,-4); 6x-5y=4Answer by TakeishaM(13)   (Show Source): You can put this solution on YOUR website!First you need to put your equation in slope intercept form which is y = mx + b 6x-5y=4 (subtract 6x from both sides) -5y=4-6x (divide both sides by -5; so divide 4 by -5 and -6 by -5) y=(-4/5)+1.2x We know that parallel lines have the same slope so the slope of your new line will be 1.2x. Now solve for b by using the point you were given in the problem (6,-4) y=mx+b -4=1.2(6)+b -4=7.2+b (subtract 7.2 from both sides) -11.2 = b The answer is y=1.2x-11.2