Question

Find the slope of each line that passes through the given points (-2,1) and (6,5)

Answer 1

`\bold{m=\frac12}`

Explanation:

`\bold{slope\, (m)=(change\ in\ Y)/(change\ in\ X)=(y_2-y_1)/(x_2-x_1)}`

(-2, 1) ⇒ x₁ = -2, y₁ = 1

(6, 5) ⇒ x₂ = 6, y₂ = 5

So the slope:

`\bold{m=(5-1)/(6-(-2))=\frac{4}8=\frac12}`