SOLUTION: Please help me solve this: Find the equation of the line perpendicular to -4y-5=3x through the point (6,5) and write the equation in standard form.

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Question 544625: Please help me solve this: Find the equation of the line perpendicular to -4y-5=3x through the point (6,5) and write the equation in standard form.
Answer by JBarnum(2044) About Me  (Show Source):
You can put this solution on YOUR website!
you need to find the slope of the equation given, then reverse the slope to get the perpendicular line and use the point to solve for b.
-4y-5=3x put in slope intercept form
-4y=3x%2B5
y=%28-3%2F4%29x-5%2F4 y=mx+b so m=-3%2F4
Find perpendicular line:
y=mx%2Bb with point (6,5)
5=%28-4%2F3%29%286%29%2Bb find b
5=-8%2Bb
13=b
new line looks like:
y=%28-4%2F3%29x%2B13