Question

Given the points below, are the two lines parallel, perpendicular, or neither.

Answer 1

Answer:

Parallel

Step-by-step explanation:

Calculate the slope m of the lines using the slope formula.

If the slopes are equal then the lines are parallel

If the product of the slopes is - 1 then the lines are perpendicular.

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 3, - 4) and (x₂, y₂ ) = (- 5, 2)

m = $\frac{2+4}{-5+3}$ = $\frac{6}{-2}$ = - 3 ← slope of L1

Repeat with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (- 2, 3)

m = $\frac{3+6}{-2-1}$ = $\frac{9}{-3}$ = - 3 ← slope of L2

Since the slopes are equal then the two lines are parallel

Answer 2

Answer:

The given lines are parallel when plotted in graph.

Step-by-step explanation: