College

Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither.

1. L1: (-2, 0) and (0, 6)
L2: (1, 3) and (0, 3)

2. L1: (6, 2) and (8, -2)
L2: (5, 1) and (3, 0)

3. L1: (-5, -1) and (4, 4)
L2: (4, -7) and (8, 10)

Answer :

Using the slope formula, the lines are:

1. Neither

2. Perpendicular

3. Neither

What is the Slope Formula?

The slope formula is given as, m = change in y / change in x.

Slope of lines that are parallel are the same while slope of perpendicular line will give a product of -1.

1. Slope of L1 (m) = change in y / change in x = (6 - 0) / (0 - (-2))

m = 6/2

m = 3

Slope of L2 (m) = change in y / change in x = (3 - 3) / (0 - 1)

m = 0/-1

m = 0

Both lines are neither.

2. Slope of L1 (m) = change in y / change in x = (-2 - 2) / (8 - 6)

m = -4/2

m = -2

Slope of L2 (m) = change in y / change in x = (0 - 1) / (3 - 5)

m = -1/-2

m = 1/2

Both lines are perpendicular because (-2)(1/2) = -1

3. Slope of L1 (m) = change in y / change in x = (4 - (-1)) / (4 - (-5))

m = 5/9

Slope of L2 (m) = change in y / change in x = (10 - (-7)) / (8 - 4)

m = 17/4

The lines are neither.

Learn more about the slope of lines on:

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