document.write( "Question 1081157: Please help me solve this problem: Write an equation that passes through the point (4, 2) and is (A) parallel and (B) perpendicular to the line y=2x-3. I tried solving a few pairs of coordinates for y=2x-3 such as (0, -3), (1, -1), (2, 1), (3, 3), (4, 5), and (5, 7). Please help on this question. Thank you! \n" ); document.write( "
Algebra.Com's Answer #695229 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
Line passing through (4,2) and parallel to y=2x-3\r
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\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\"
\n" ); document.write( "\"b=y-mx\"
\n" ); document.write( "\"b=2-2%2A4\", substituting for the coordinates of the point
\n" ); document.write( "\"b=-6\"
\n" ); document.write( "-
\n" ); document.write( "\"highlight%28y=2x-6%29\"\r
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\n" ); document.write( "\n" ); document.write( "Line through (4,2) and perpendicular to y=2x-3
\n" ); document.write( "(Now the slope you want to use must be negative reciprocal of the slope of the given line; given line slope is 2, so slope for a line perpendicular will be \"-1%2F2\".)\r
\n" ); document.write( "\n" ); document.write( "\"b=2-%28-1%2F2%29%2A4\"-----same formula for b as before, but now use slope \"-1%2F2\";
\n" ); document.write( "\"b=2%2B4%2F2\"
\n" ); document.write( "\"b=2%2B2\"
\n" ); document.write( "\"b=4\"
\n" ); document.write( "-
\n" ); document.write( "\"highlight%28y=-x%2F2%2B4%29\"
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