document.write( "Question 124921: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 2y = 10 L2 with equation 2x + y = 2 \n" ); document.write( "

Algebra.Com's Answer #91557 by checkley71(8403) $\"\"$ $\"About$

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TO ANSWER THIS PROBLEM WE NEED TO FIND THE SLOPES OF THESE 2 LINES THUS:
\n" ); document.write( "Y=mX+b WHHERE m=SLOPE.
\n" ); document.write( "X-2Y=10 OR -2Y=-X+10 OR Y=-X/-2+10/-2 OR Y=X/2-5 (RED LINE)WHICH GIVES US A SLOPE=1/2.
\n" ); document.write( "2X+Y=2 OR Y=-2X+2 (GREEN LINE) WHICH GIVES US A SLOPE=-2.
\n" ); document.write( "SEEING AS THESE 2 SLOPES (1/2 & -2) ARE NEGATIVE RECIPRICALS OF EACH OTHER THEN THESE 2 LINES ARE PERPENDICULAR TO ONE ANOTHER.
\n" ); document.write( "PROOF:
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+x%2F2+-5%2C+y+=+-2x+%2B2%29+\"$ (graph 300x300 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = x/2 -5 and y = -2x +2).
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