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

Answer:

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

Step-by-step 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.