document.write( "Question 810819: Find the equation of the line that passes through the point (3,-5) AND is perpendicular to: 2x+5y=3 \n" ); document.write( "

Algebra.Com's Answer #488449 by erica65404(394) $\"\"$ $\"About$

You can put this solution on YOUR website!
first thing you want to do is solve the equation for y
\n" ); document.write( " $\"2x%2B5y=3\"$
\n" ); document.write( " $\"5y=-2x%2B3\"$
\n" ); document.write( " $\"y=%28-2%2F5%29x%2B3%2F5\"$
\n" ); document.write( "The slope of this equation is $\"-2%2F5\"$
\n" ); document.write( "we want a slope that is perpendicular to this slope so flip it and take its oposite.
\n" ); document.write( " $\"5%2F2\"$ is the new slope.
\n" ); document.write( " $\"y=%285%2F2%29x%2Bb\"$
\n" ); document.write( "now plug in the point they gave you to find b.
\n" ); document.write( " $\"-5=%285%2F2%29%2A3%2Bb\"$
\n" ); document.write( " $\"-5=7.5%2Bb\"$
\n" ); document.write( " $\"b=-12.5\"$
\n" ); document.write( "plug in to find your answer.
\n" ); document.write( " $\"y=%285%2F2%29x-12.5\"$ \n" ); document.write( "

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