Question

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Line 1: (-1, -3), (3,9)
Line 2: (0, 1), (5, 11)

Answer 1

Answer: neither

Step-by-step explanation:

What we know:

• Parallel lines have equal slopes

• Perpendicular lines have opposite reciprocal slopes

• Opposite reciprocals, when multiplied, equal -1

How to solve:

Process:

Slope of line 1

Set up equation y2-y1/x2-x1

Substitute 9-(-3)/3-(-1)

Simplify 12/4

Solve slope = 3

Slope of line 2

Set up equation y2-y1/x2-x1

Substitute 11-1/5-0

Simplify 10/5

Solve slope = 2

Relationship

3 is not equal to 2, so they are not parallel

The opposite reciprocal of 3 is -1/3, which is not equal to 2, so they are not perpendicular

Answer: Neither