document.write( "Question 348166: What is the equation of a line perpendicular to the line 7x + 4y = 15 + 2x and passing through the point (0.5, 0.5)? \n" ); document.write( "

Algebra.Com's Answer #248955 by ewatrrr(24785) $\"\"$ $\"About$

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\n" ); document.write( "*Note solve 7x + 4y = 15 + 2x for y in order to determine the slope of this line.
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\n" ); document.write( " $\"y+=+%28-5%2F4%29x+%2B+%2815%2F4%29\"$
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\n" ); document.write( "y = mx + b
\n" ); document.write( "Slope of this line is (-5/4)
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\n" ); document.write( "The slope of a line perpendicular to this line would be the negative reciprocal or (4/5)
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\n" ); document.write( "Sutitute slope and point ( .5, .5 )into the slope point form for a line
\n" ); document.write( " $\"y++=+m%28x+-+x%5B1%5D%29%2By%5B1%5D\"$
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\n" ); document.write( " $\"y=+%284%2F5%29%2A%28x-%281%2F2%29%29+%2B+%281%2F2%29\"$
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\n" ); document.write( "Simplify:
\n" ); document.write( " $\"y=+%284%2F5%29%2Ax-%284%2F10%29+%2B+%285%2F10%29\"$
\n" ); document.write( " $\"y=+%284%2F5%29%2Ax%2B%281%2F10%29\"$
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\n" ); document.write( "check your answer with point given (.5,.5)\r
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