document.write( "Question 116435: Find the slope of any line parallel to the line through points (8, 6) and (7, 7). \n" ); document.write( "

Algebra.Com's Answer #84664 by checkley71(8403) $\"\"$ $\"About$

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THE SLOPE OF THIS LINE IS (Y2-Y1)/(X2-X1)
\n" ); document.write( "(7-6)/(7-8)
\n" ); document.write( "1/-1=-1 FOR THE SLOPE.
\n" ); document.write( "THUS THE LINE EQUATION THROUGH THESE POINTS IS:
\n" ); document.write( "6=-1*8+b
\n" ); document.write( "6=-8+b
\n" ); document.write( "b=6+8
\n" ); document.write( "b=14 OR
\n" ); document.write( "Y=-X+14 (RED LINE)
\n" ); document.write( "THEREFORE ANY LINE EQUATION WITH A SLOPE OF -1 IS A PARALLEL LINE.
\n" ); document.write( "Y=-X-4 IS ONE OF THEM. (GREEN LINE)
\n" ); document.write( "THIS LINE IS PARALLEL TO THE LINE THROUGH (8,6) & (7,7)
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+15%2C+y+=+-x+%2B14%2C+y+=+-x+-4%29+\"$ (graph 300x200 pixels, x from -6 to 15, y from -10 to 15, of TWO functions y = -x +14 and y = -x -4). \n" ); document.write( "

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