document.write( "Question 994314: what is an equation that is in general form and is perpendicular to $\"+-4x%2By-8=0+\"$ and passes through the point (3,2) \n" ); document.write( "

Algebra.Com's Answer #613452 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( " $\"-4x%2By-8=0\"$ . Re-write in slope intercept form
\n" ); document.write( " $\"y=4x%2B8\"$
\n" ); document.write( "From this we know the slope is 4. The slope of the
\n" ); document.write( "perpendicular line is the negative reciprocal (-1/4):
\n" ); document.write( " $\"y=%28-1%2F4%29x%2Bb\"$
\n" ); document.write( "Substitute the values from (3,2) to find b:
\n" ); document.write( " $\"2=%28-1%2F4%293%2Bb\"$
\n" ); document.write( " $\"2=%28-3%2F4%29%2Bb\"$
\n" ); document.write( " $\"11%2F4=b\"$
\n" ); document.write( ".
\n" ); document.write( "The equation:
\n" ); document.write( " $\"y=%28-1%2F4%29x%2B%2811%2F4%29\"$
\n" ); document.write( ".
\n" ); document.write( "Convert to general form:
\n" ); document.write( " $\"4y=-x%2B11\"$
\n" ); document.write( " $\"x%2B4y-11=0\"$
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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