SOLUTION: Find an equation for the line perpendicular to the line 4x-4y=-9, having the same y-intercept as -7x+2y=-3.

Algebra ->  Points-lines-and-rays -> SOLUTION: Find an equation for the line perpendicular to the line 4x-4y=-9, having the same y-intercept as -7x+2y=-3.      Log On


   

Question 621034: Find an equation for the line perpendicular to the line 4x-4y=-9, having the same y-intercept as -7x+2y=-3.
Answer by matt501823(7) About Me  (Show Source):
You can put this solution on YOUR website!
If you transpose the equation 4x-4y=-9 you get y=x%2B%289%2F4%29. A perpendicular line to this must have a slope of -x. To derive the required y-intercept for an equation that meets the conditions you must also transpose the equation -7x%2B2y=-3 such that it becomes y=%287%2F2%29x-%283%2F2%29. Thus, the answer must be y=-x-%283%2F2%29.