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determine whethe the given linear equations are parallel, perpendicular, or neither : y = 9x  8 and y = 9x +11
 9 months ago
 9 months ago
determine whethe the given linear equations are parallel, perpendicular, or neither : y = 9x  8 and y = 9x +11
 9 months ago
 9 months ago

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francisgcmBest ResponseYou've already chosen the best response.0
These equations are in slopeintercept form \[(y=mx+b)\] which implies that the coefficient of x in each equation is the slope if that equation. Hence the first line has slope 9 and the second has slope 9. Also, recall that two lines are parallel if and only if they have the same slope, and perpendicular if and only if the product of their slopes is 1. Obviously the numbers 9 and 9 do not satisfy either of there conditions; therefore, the linear equations are neither parallel nor perpendicular.
 9 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.0
to be perpendicular m*m'=1, so neither
 9 months ago

RaphaelFilgueirasBest ResponseYou've already chosen the best response.0
parallel m=m' and h neq h'
 9 months ago

francisgcmBest ResponseYou've already chosen the best response.0
Thank you Raphael, I stand corrected. Two lines are parallel if and only if they have the same slope AND DIFFERENT YINTERCEPTS. :)
 9 months ago
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