document.write( "Question 257231: If the line that passes through the points A(2,-1) and B(3,-2) is parallel to the line ax – by + c = 0, then determine the value of a^2 – b^2. \n" ); document.write( "

Algebra.Com's Answer #189184 by Alan3354(69443) $\"\"$ $\"About$

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If the line that passes through the points A(2,-1) and B(3,-2) is parallel to the line ax – by + c = 0, then determine the value of a^2 – b^2.
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\n" ); document.write( "The line thru the points is y = -x + 1, or
\n" ); document.write( "x + y - 1 = 0
\n" ); document.write( "Its slope, m = -1, and the slope of ax - by + c is also -1 --> a/b = -1.
\n" ); document.write( "a = -b
\n" ); document.write( "a^2 - b^2 = 0
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