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

The linear function is . The graph of function is given below.

Step-by-step explanation:

The slope intercept form of a linear function is

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,

put y=0, to find x-intercept.

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 is given below.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.