document.write( "Question 252794: Find y if the line through A(-1, 2) and B(3, 5) is parallel to the line through (0, -1) and (6, y). \n" ); document.write( "
Algebra.Com's Answer #184883 by richwmiller(17219)\"\" \"About 
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(y1-y2)/(x1-x2)=m1 slope
\n" ); document.write( "y1=2
\n" ); document.write( "y2=5
\n" ); document.write( "x1=-1
\n" ); document.write( "x2=3
\n" ); document.write( "plug in those values and solve for m
\n" ); document.write( "Since the lines are parallel they have the same slope
\n" ); document.write( "do the same for line two
\n" ); document.write( "(y1-y2)/(x1-x2)=m2 slope\r
\n" ); document.write( "\n" ); document.write( "but we now know m1 and m2 but don't know y2
\n" ); document.write( "x1=0
\n" ); document.write( "x2=6
\n" ); document.write( "y1=-1
\n" ); document.write( "y2=y
\n" ); document.write( "another way is to set the two equal to each since m1=m2
\n" ); document.write( "(2-5)/(-1-3)=(-1-y)/0-6
\n" ); document.write( "-3/-4=-1-y/-6
\n" ); document.write( "3/4=(-1-y)/-6
\n" ); document.write( "mulitply both sides by -6
\n" ); document.write( "-18/4=-1-y
\n" ); document.write( "-9/2=-1-y
\n" ); document.write( "-4.5=-1-y
\n" ); document.write( "add 1 to both sides
\n" ); document.write( "-3.5=-y
\n" ); document.write( "add y to both sides and add 3.5 to both sides
\n" ); document.write( "OR multiply both sides by -1\r
\n" ); document.write( "\n" ); document.write( "y=3.5
\n" ); document.write( "check
\n" ); document.write( "-1-3.5/-6=-4.5/-6=3/4
\n" ); document.write( "ok
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