document.write( "Question 174087: Write the equation of the line that has a y-intercept of (0,-9) and is perpendicular to the line 2x - 4y = 8. \n" ); document.write( "

Algebra.Com's Answer #128975 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "Line 1 $\"2x+-+4y+=+8\"$ .
\n" ); document.write( "Arranging to follow Slope-intercept form:
\n" ); document.write( " $\"4y=2x-8\"$ ----> $\"cross%284%29y%2Fcross%284%29=%282x-8%29%2F4=%282%2F4%29x-%288%2F4%29\"$
\n" ); document.write( " $\"y=highlight%28%281%2F2%29%29x-2\"$
\n" ); document.write( "It shows has a $\"Slope=m%5B1%5D=1%2F2\"$
\n" ); document.write( "We know when lines are perpendicular: $\"m%5B2%5D=-1%2Fm%5B1%5D\"$
\n" ); document.write( "Then Line 2 has $\"Slope=m%5B2%5D=-1%2F%281%2F2%29=-2\"$
\n" ); document.write( "It follows: $\"highlight%28y=-2x-9%29\"$ OR $\"highlight%282x%2By=-9%29\"$ Standard Form (Answer)
\n" ); document.write( "we see the graph:
\n" ); document.write( "-------> RED, Line 1: GREEN, Line 2
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( " \n" ); document.write( "

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