document.write( "Question 536778: 2x-5y= -3\r
\n" ); document.write( "\n" ); document.write( "2x+5y=4\r
\n" ); document.write( "\n" ); document.write( "determine whether each pair represents perpendicular lines\r
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Algebra.Com's Answer #352577 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
The slope-intercept form of an equation is useful for finding the slope, and for comparing lines (parallel or perpendicular).


\n" ); document.write( "The equation is y=mx+b where m is the slope. Two lines are perpendicular if their slopes are negative reciprocals of each other. That is, if the product of the slopes is -1.


\n" ); document.write( "2x - 5y = -3


\n" ); document.write( "Subtract x from both sides.


\n" ); document.write( "-5y = -2x - 3


\n" ); document.write( "Divide both sides by -5.


\n" ); document.write( "y = 2/5x + 3/5.


\n" ); document.write( "In order for the second line to be perpendicular to this line, the second line's slope must be -5/2 because 2/5 * -5/2 = -1.


\n" ); document.write( "2x + 5y = 4


\n" ); document.write( "Subtract 2x from both sides.


\n" ); document.write( "5y = -2x + 4


\n" ); document.write( "Divide both sides by 5.


\n" ); document.write( "y = -2/5x + 4/5


\n" ); document.write( "-2/5 * 2/5 = -4/10. That's not -1. The lines are not perpendicular.
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