Question

What is the slope of the line on the graph below

Answer 1

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, - 4) and (x₂, y₂ ) = (6, - 3) ← 2 points on the line

substitute these values into the formula for m

m =
`(-3-(-4))/(6-3)` =
`(-3+4)/(3)` =
`(1)/(3)`