SOLUTION: Write an equation of the line containing the given points and parallel to the given line. (7, -8); 6x-7y=5 The equation of the line is y= ??????

Algebra ->  Graphs -> SOLUTION: Write an equation of the line containing the given points and parallel to the given line. (7, -8); 6x-7y=5 The equation of the line is y= ??????      Log On


   

Question 203015: Write an equation of the line containing the given points and parallel to the given line.
(7, -8); 6x-7y=5
The equation of the line is y= ??????
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Solve the given equation for , that is put it into form. Then determine the slope of the given line by inspection of the coefficient on .

Knowing the slope of the given line will tell you the slope of the parallel line, because:



Now that you have the slope of the desired line, you can use that and the given point in the point-slope form to derived the desired equation:



where is the given point and is the slope determined above.

John