Question

Line AB and CD have the following points: A(2, 4), B(9, 8), C(-1, 2), and D(3, -5). Are the lines parallel, perpendicular, or neither?
Perpendicular
Neither
Parallel

Answer 1

We are given coordinates of A, B, C and D :

A(2, 4), B(9, 8), C(-1, 2), and D(3, -5).

Now, we need to find the slopes of AB and CD.

Slope of AB is :

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:4\right),\:\left(x_2,\:y_2\right)=\left(9,\:8\right)$

$m=\frac{8-4}{9-2}$

$m=\frac{4}{7}$.

Slope of CD is:

$m=\frac{-5-2}{3-\left(-1\right)}$

$m=-\frac{7}{4}$.

Slope of CD is negative reciprocal of slope of slope of AB.

Therefore, lines AB are CD are perpendicular.

Answer 2

Answer:

c.Parallel

Step-by-step explanation: