document.write( "Question 625708: Write an equation representing a line which is perpendicular to 2x-3y=-9 \n" ); document.write( "

Algebra.Com's Answer #393749 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Step 1: Compute the slope of the given line. Since both variables are on the same side of the equals sign, divide the opposite of the coefficient on

by the coefficient on

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\n" ); document.write( "\n" ); document.write( "Step 2: Perpendicular lines have negative reciprocal slopes. Take the negative reciprocal of the slope you just calculated to determine the slope of the desired line.\r
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\n" ); document.write( "\n" ); document.write( "Use the slope-intercept form of an equation of a line,

. Replace the slope,

, with the number you calculated in step 2.\r
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\n" ); document.write( "\n" ); document.write( "If you want a single example of an equation of a line perpendicular to the given line, pick a value for

and substitute it. Otherwise, leave

as it is and you will have a representation of the family of equations of ALL lines perpendicular to the graph of the given equation.\r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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