Question

What are the slope and the y-intercept of the linear function that is represented by the graph?

A) the slope is 2/3, and the y-intercept is -2
B) the slope is 2/3, and the y-intercept is 3
C) the slope is 3/2, and the y-intercept is -2
D) the slope is 3/2, and the y-intercept is 3

Answer 1

A.) the slope is 2/3, and the y-intercept is -2

Explanation:

Took the test on Edge!! :)

Answer 2

The first option

Explanation:

The slope m can be calculated using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

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

The y- intercept is the point on the y- axis where the line crosses, that is - 2

Thus slope =
`(2)/(3)` and the y- intercept is - 2