Question

What is the gradient of the graph shown?

Answer 1

gradient =
`(1)/(3)`

Explanation:

calculate the gradient m using the gradient formula

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

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m =
`(2-0)/(0-(-6))` =
`(2)/(0+6)` =
`(2)/(6)` =
`(1)/(3)`