Question

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

Answer 1

slope =
`(4)/(3)`

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m =
`(4-0)/(0-(-3))` =
`(4)/(0+3)` =
`(4)/(3)`

Answer 2

Using the formula m=rise/run or y2-y1/x2-x1

Grab two random coordinates (1,5) and (4,9)

Plug those 2 coordinates into the formula

9-5/4-1

4/3

4/3 is the slope