document.write( "Question 697020: which of the following could be the equation of a line thats parallel to 18x-72y+90=0 and passing through the mid point b/w (-14,10) and (10,-2) ?\r
\n" ); document.write( "\n" ); document.write( "a)4x-16y+48=0
\n" ); document.write( "b)x-4y+18=0
\n" ); document.write( "c)-3x+12y+36=0
\n" ); document.write( "d)-7x+28y-122=0 \n" ); document.write( "
Algebra.Com's Answer #429665 by lwsshak3(11628)\"\" \"About 
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which of the following could be the equation of a line thats parallel to 18x-72y+90=0 and passing through the mid point b/w (-14,10) and (10,-2) ?
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\n" ); document.write( "coordinates of midpoint:
\n" ); document.write( "(x1+x2/2,(y1+y2)/2
\n" ); document.write( "=(10-14)/2,(-2+10)/2
\n" ); document.write( "=(-2,4)
\n" ); document.write( "..
\n" ); document.write( "18x-72y+90=0
\n" ); document.write( "x-4y+5=0
\n" ); document.write( "4y=x+5
\n" ); document.write( "y=x/4+5/4
\n" ); document.write( "slope,m=1/4
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\n" ); document.write( "equation:
\n" ); document.write( "y=x/4+b
\n" ); document.write( "solve for b using coordinates of the midpoint (-2,4)
\n" ); document.write( "4=-2/4+b
\n" ); document.write( "b=9/2
\n" ); document.write( "equation of line parallel to given line and passing thru midpoint.
\n" ); document.write( "y=x/4+9/2
\n" ); document.write( "4y=x+18
\n" ); document.write( "x-4y+18=0 (ans b)\r
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