Answer :

queenbee1213

Answer:

It’s perpendicular

Step-by-step explanation:

If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

${teks-lihat-gambar} queenbee1213
${teks-lihat-gambar} queenbee1213

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

Other Questions