Question

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?

Answer 1

The first graph.

It's right on edge

Answer 2

The linear function is
`y=-x+3`. The graph of function is given below.

Explanation:

The slope intercept form of a linear function is

`y=mx+b`

Where, m is slope and b is y-intercept.

Since the slope is -1 and the y-intercept is 3, therefore the linear function is,

`y=-x+3`

put y=0, to find x-intercept.

`0=-x+3`

`x=3`

Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.

The graph of the linear function
`y=-x+3` is given below.