How to tell if a line is perpendicular or parallel
Asked by admin @ in Mathematics viewed by 348 People
use the slope to determine if lines AB and CD are parallel, perpendicular, or neither. (please help asap!!)
Asked by admin @ in Mathematics viewed by 348 People
use the slope to determine if lines AB and CD are parallel, perpendicular, or neither. (please help asap!!)
Answered by admin @
lines AB and CD are perpendicular to each other
This is all about getting the slope of a line between two coordinates.
The formula for the slope in this case is;
m = (y2 - y1)/(x2 - x1)
We are given coordinates of A and B as;
A(9, 2) and B(-1, 8)
Thus;
m = (8 - 2)/(-1 - 9)
m = 6/-10
m_ab = -6/10 = -3/5
For coordinates of C and D, we have;
C(-5, 16) and D(-8, 11)
Thus;
m_cd = (11 - 16)/(-8 - (-5))
m_cd = -5/-3 = 5/3
For the slopes to be parallel, they have to be equal but for the slopes to be perpendicular, one of them would have to be negative inverse of the other.
We see that; m_cd = 5/3 is same as -1/(m_ab) = -1/(-3/5) = 5/3
Thus, lines AB and CD are perpendicular to each other.
Read more at; brainly.com/question/4853862
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