SOLUTION: Find an equation for the line perpendicular to the line 4x + 20y = 6 having the same y-intercept as −5x − 7y = 56

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Question 1076932: Find an equation for the line perpendicular to the line 4x + 20y = 6 having the same y-intercept as −5x − 7y = 56
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

Find an equation for the line perpendicular to the line
equation of the perpendicular line:

if given that the line perpendicular to the line , means they will have slopes negative reciprocal to each other
so, first find a slope of given line:



=> slope is
and its negative reciprocal will be a slope of the perpendicular line:
if , than negative reciprocal is =>
now we have a slope, and your equation is so far
since given that perpendicular line having the same y-intercept as , we need to find that y-intercept


=> y-intercept is at
so, your equation is:



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