document.write( "Question 14542: Write an equation in slope-intercept form of a line that passes through the points, (2, -2) and is perpindicular to the graph of x+5y=6 \n" ); document.write( "

Algebra.Com's Answer #7283 by Alwayscheerful(414) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to find the slope of a line perpendicular to another, you need to take the negative recipricol. In your case, you first need to transform it to y=mx+b form. You do that by isolating the y and solving.
\n" ); document.write( " $\"5y=-x%2B6\"$
\n" ); document.write( " $\"y=%28-1%2F5%29x%2B6%2F5\"$
\n" ); document.write( "So, we wee that your slope is $\"-1%2F5x\"$ .
\n" ); document.write( "The negative recipricol is $\"5x\"$ .
\n" ); document.write( "Then, all you do is plug in 2 for your x value and -2 for you y and solve for b.
\n" ); document.write( " $\"-2=5%282%29%2Bb\"$
\n" ); document.write( " $\"-2=10%2Bb\"$
\n" ); document.write( " $\"-12=b\"$
\n" ); document.write( "The final equation should be
\n" ); document.write( " $\"y=5x-12\"$
\n" ); document.write( "Hope this helps! \n" ); document.write( "

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