Question

What is the slope of the line in the following graph?

Answer 1

Answer: 1/3

Step-by-step explanation: The line goes two points up and six points right. 2/6 simplified is 1/3

Answer 2

slope =
`(1)/(3)`

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m =
`(3-1)/(3-(-3))` =
`(2)/(3+3)` =
`(2)/(6)` =
`(1)/(3)`