Question

Find the slope of the line graphed below.

Answer 1

slope = 3

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m =
`(2-(-1))/(0-(-1))` =
`(2+1)/(0+1)` =
`(3)/(1)` = 3

Answer 2

m = 3

Explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (-1,-1) (0,2)

We see the y increase by 3 and the x increase by 1, so the slope is

m = 3