Question

Based on the graph, what is the initial value of the linear relationship?

A coordinate plane is shown. A line passes through the y-axis at -2 and the x-axis at 3.

−2
0
two over three
3

Answer 1

Answer: two over three

Explanation:

`y=ax+b`

line intercepts y at (0,-2)

Therefore,
`y=ax-2`

Substitute x = 3 in y =ax-2

`y=3a-2`

To find the x-intercept, y = 0

`3a-2=0\\3a=2\\a=(2)/(3)`

The slope is 2/3

y-intercept is -2

So two over three