SOLUTION: Find the equation of the line that passes through the point (3,-5) AND is perpendicular to: 2x+5y=3

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Question 810819: Find the equation of the line that passes through the point (3,-5) AND is perpendicular to: 2x+5y=3
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
first thing you want to do is solve the equation for y
2x%2B5y=3
5y=-2x%2B3
y=%28-2%2F5%29x%2B3%2F5
The slope of this equation is -2%2F5
we want a slope that is perpendicular to this slope so flip it and take its oposite.
5%2F2 is the new slope.
y=%285%2F2%29x%2Bb
now plug in the point they gave you to find b.
-5=%285%2F2%29%2A3%2Bb
-5=7.5%2Bb
b=-12.5
plug in to find your answer.
y=%285%2F2%29x-12.5