Question

Determine the slope of the line represented by the graph below

Answer 1

slope =
`(3)/(2)`

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

substitute these values into the formula for m

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