document.write( "Question 755091: Determine whether the given linear equations are parallel, perpendicular, or neither.\r
\n" ); document.write( "\n" ); document.write( "y = - 5x - 8
\n" ); document.write( "y = 5x +11 \r
\n" ); document.write( "\n" ); document.write( "Please show steps. Thank you. \n" ); document.write( "
Algebra.Com's Answer #459501 by pragya.ban@gmail.com(32)\"\" \"About 
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Determine whether the given linear equations are parallel, perpendicular, or neither.\r
\n" ); document.write( "\n" ); document.write( "1) y = - 5x - 8
\n" ); document.write( "2) y = 5x +11
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\n" ); document.write( "\n" ); document.write( " First of equations are parallel to one another if they share the same slope. (ex: y= 2x+3 and y= 2x+4) Equations are perpendicular if they are a negative reciprocal of each other. (ex: y= 3x+9 and y= -1/3x+5) A way to see if two equations are perpendicular is to multiply the slopes and if they equal to -1 then they are perpendicular.\r
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\n" ); document.write( "\n" ); document.write( " For equation number 1, the slope is -5x, and for equation number 2 the slope is 5x. Based on what we just described above, the two slopes are not the same (-5 is not equal to 5) and they are not negative reciprocals of each other either (-5*5 does not equal to -1). \r
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\n" ); document.write( "\n" ); document.write( "Therefore these two linear equations are neither parallel nor perpendicular. \n" ); document.write( "
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