document.write( "Question 459794: Write the slope-intercept equation for the line that passes through (-9,9) and is perpendicular to -9x-2y=10. Please show the steps \n" ); document.write( "

Algebra.Com's Answer #315309 by Gogonati(855) $\"\"$ $\"About$

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We first write the equation in slope-intercept form $\"y=%28-9%2F2%29x-5\"$ , as you see \r
\n" ); document.write( "\n" ); document.write( "the slope of the line is m1=-9/2, therefore the slope of the perpendicular line will be m2=2/9, because the perpendicular lines have negative reciprocals slopes.\r
\n" ); document.write( "\n" ); document.write( "Now we have to write the equation of the line with slope 2/9 that passes through the point (-9, 9):\r
\n" ); document.write( "\n" ); document.write( " $\"y-9=%282%2F9%29%28x%2B9%29\"$ , writing it in the slope-intercept form we get:\r
\n" ); document.write( "\n" ); document.write( " $\"y=%282%2F9%29x%2B11\"$ . See the graph below:\r
\n" ); document.write( "\n" ); document.write( " $\"graph%28300%2C+300%2C+-10%2C+5%2C+-10%2C+15+%2C+-4.5x-5%2C+0.222x%2B11+%29\"$ \n" ); document.write( "

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