document.write( "Question 941300: Find the distance from the point (6,1) to the graph of 2x-3y+7=0 \n" ); document.write( "

Algebra.Com's Answer #573779 by josgarithmetic(39628) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-3y=-2x-7\"$
\n" ); document.write( " $\"y=%282%2F3%29x%2B7%2F3\"$ \r
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\n" ); document.write( "\n" ); document.write( "What is the line perpendicular to that one (given) and containing point (6,1)?
\n" ); document.write( "Slope will be $\"-3%2F2\"$ . Using point-slope form to find the line,
\n" ); document.write( " $\"y-1=-%283%2F2%29%28x-6%29\"$
\n" ); document.write( " $\"y-1=-3x%2F2%2B9\"$
\n" ); document.write( " $\"y=-%283%2F2%29x%2B10\"$ \r
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\n" ); document.write( "\n" ); document.write( "What is the intersection point of the two line?
\n" ); document.write( " $\"%282%2F3%29x%2B7%2F3=-%283%2F2%29x%2B10\"$
\n" ); document.write( " $\"%282%2F3%2B3%2F2%29x%2B7%2F3=10\"$
\n" ); document.write( " $\"%284%2B9%29x=10%2A6-%287%2F3%29%2A6\"$
\n" ); document.write( " $\"13x=60-14\"$
\n" ); document.write( " $\"13x=46\"$
\n" ); document.write( " $\"highlight_green%28x=46%2F13%29\"$
\n" ); document.write( " $\"y=-%283%2F2%29%2846%2F13%29%2B10\"$
\n" ); document.write( " $\"y=-138%2F26-15\"$
\n" ); document.write( " $\"y=%28-138-90%29%2F26\"$
\n" ); document.write( " $\"highlight_green%28y=8%2610%2F13%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Finally, use the distance formula to find how far are the two points ( 46/13, 8&10/13) from (6,1). \n" ); document.write( "

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