Question

Write the equation of the line that passes through the points (5,-10) and (12,-17) in slope intercept form

Answer 1

m = -1

Explanation:

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

(5, -10) ⇒ x₁ = 5, y₁ = -10

(12, -17) ⇒ x₂ = 12, y₂ = -17

So the slope:

`\bold{m=(-17-(-10))/(12-5)=\frac{-7}7=-1}`