Question

Which line is parallel to the line that passes through the points
(2, –5) and (–4, 1)?

Answer 1

Step-by-step explanatWhich line is parallel to the line that passes through the points (-1, 2) and (5, -4)?

ion:

Answer 2

Slope of line that passes through two points:
`m=(y_2-y_1)/(x_2-x_1)`

(2, -5) ⇒ x₁ = 2, y₁ = -5

(-4, 1) ⇒ x₂ = -4, y₂ = 1

`\bold{m=(1-(-5))/(-4-2)=(1+5)/(-6)=-1}`

Any line with a slope of -1 is parallel the line that passes through the points

(2, –5) and (–4, 1)