document.write( "Question 397345: I am trying to decide wether each pair of lines is Perpendicular, parallel, or neither. 2x-y=5, 2x+y=3\r
\n" ); document.write( "\n" ); document.write( "I have worked out:
\n" ); document.write( "2x-y=5
\n" ); document.write( "2x-y-5=5-5
\n" ); document.write( "2x-y-5=0
\n" ); document.write( "2x-y+y-5=0+y
\n" ); document.write( "2x-5=y
\n" ); document.write( "I plugged 2 in for x
\n" ); document.write( "2(2)-5=y
\n" ); document.write( "4-5=y
\n" ); document.write( "-1=y\r
\n" ); document.write( "\n" ); document.write( "2x+y=3
\n" ); document.write( "2x+3=y
\n" ); document.write( "Plugged in 2 for x again
\n" ); document.write( "2(2)+3=y
\n" ); document.write( "4+3=y
\n" ); document.write( "7=y\r
\n" ); document.write( "\n" ); document.write( "In my book it says that the answer is neither Perpendicular or parallel but I don't understand why that is. I thought if you were solving for y the coefficient of x is the slope so wouldn't the slope on both be 2? \n" ); document.write( "

Algebra.Com's Answer #281639 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi
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document.write( "2x-y = 5  OR y = 2x - 5  |good work!
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document.write( "2x+y=3  OR   y = -2x + 3 |note subtracting 2x from both sides of the equation
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document.write( "Yes!! solving for y, the coefficient of x is the slope
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document.write( "to be parallel, line must have same slope
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document.write( "to be ⊥, lines must have slopes that are negative 'reciprocals' of one another
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document.write( "Neither is the case, therefore the lines are neither parallel or perpendicular.
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document.write( "However, Yes!, they do intersect at Pt (2,-1)...have that point in common
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