Chat with our AI personalities
When two lines are parallel, they have the same slope. For example:y=5x-3 andy=5x+9These lines are parallel, because they have the same slope.When two lines are perpendicular they have negative reciprocal slopes. For example:y=2x-6 andy=-1/2x+2These lines are parallel, because they have negative or opposite reciprocal slopes.
one slope is the negative reciprocal of the other
In a graph, you first must find the slopes of both lines using the rise over run method or by using the x2-x1 over y2-y1 method known as slope formula. The lines will be perpendicular if the slope of one line is opposite reciprocal of the other. the opposite reciprocal of 1/2 is -2
One is the negative reciprocal of the other. That is, the product of the two slopes is -1. UNLESS one of them is zero, in which case the slope of the other is infinite.
I believe they have Negative Slopes as stated by my Geometry Book. "Perpendicular Lines Have Slopes Which Are Negative ___"