Question

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

Answer 1

Slope of  line that passes through two points:  $m=\dfrac{y_2-y_1}{x_2-x_1}$

(2, -5)    ⇒    x₁ = 2,  y₁ = -5

(-4, 1)      ⇒   x₂ = -4,  y₂ = 1

$\bold{m=\dfrac{1-(-5)}{-4-2}=\dfrac{1+5}{-6}=-1}$

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

(2, –5) and (–4, 1)

Answer 2

Answer:

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

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