document.write( "Question 416729: find equation for the line, containing the points (4,-8) and (-4,3) ; general form.
\n" ); document.write( "Let (x,y) is one point on this line.
\n" ); document.write( "the slope is the same for each two points of a straight line:
\n" ); document.write( " $\"%28%28y-%28-8%29%29%29%2F%28x-4%29%29\"$ = $\"%28y-3%29%2F%28x-%28-4%29%29\"$
\n" ); document.write( " $\"%28y%2B8%29%2F%28x-4%29%29\"$ = $\"%28y-3%29%2F%28x%2B4%29\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( " $\"%28x%2B4%29%28y%2B8%29=%28x-4%29%28y-3%29\"$
\n" ); document.write( " $\"xy%2B4y%2B8x%2B32=xy-3x-4y%2B12\"$
\n" ); document.write( " $\"4y%2B4y%2B8x%2B3x%2B32-12=0\"$
\n" ); document.write( " $\"8y%2B11x%2B20=0\"$
\n" ); document.write( " $\"11x%2B8y%2B20=0\"$
\n" ); document.write( "General form ax+by+c=0
\n" ); document.write( "a=11 b=8 c=20
\n" ); document.write( "and the given points satisfy the equation \n" ); document.write( "

Algebra.Com's Answer #291904 by dnanos(83) $\"\"$ $\"About$

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