document.write( "Question 213639: Find an equation of the line. Write the equation in slope-intercept form.
\n" ); document.write( "Through (2,-7); perpendicular to 5x + 2y =18 \n" ); document.write( "
Algebra.Com's Answer #161404 by algebrapro18(249)\"\" \"About 
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We know that the line we are finding the equation of has a slope that's opposite and reciprical to the slope of the line given because the lines are perpendicular.\r
\n" ); document.write( "\n" ); document.write( "So lets find the slope of the line given. To do that we put the equation in slope-intercept form.\r
\n" ); document.write( "\n" ); document.write( "5x+2y=18
\n" ); document.write( "2y = 18-5x
\n" ); document.write( "y = 9 - 5/2x\r
\n" ); document.write( "\n" ); document.write( "so we know the slope of the given line is -5/2. So we know the slope of our line is 2/5. \r
\n" ); document.write( "\n" ); document.write( "We can now use a formula to find the equation of the line in slope intercept form. We have the point (2,-7) and the slope of the line m = 2/5. So we can use the point-slope formula:\r
\n" ); document.write( "\n" ); document.write( "y-y1=m(x-x1)
\n" ); document.write( "y-(-7)=2/5(x-2)
\n" ); document.write( "y+7=2/5(x-2)
\n" ); document.write( "y = 2/5x-4/5-7
\n" ); document.write( "y = 2/5x-39/5\r
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