SOLUTION: Write an equation of the line containing the given point and parallel to the given line. (3,-2); 8x-7y=4 Thank you!

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Question 1118581: Write an equation of the line containing the given point and parallel to the given line.
(3,-2); 8x-7y=4
Thank you!
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
The left side of your equation will be EXACTLY THE SAME as of the given equation:


8x - 7y = c.       (*)


You need to determine the constant "c" in the right side.


For it, use the condition that your line contains the given point.


In other words, substitute the coordinates of the given point into equation (*) to find "c":


8*3 - 7*(-2) = 24 + 14 = 38.


Thus c = 38 and the equation the problem is asking for is 


8x - 7y = 38.

Solved.