Given:
f(-3) = 3
f(3) = -1
Let's write an equation for the linear function.
For example:
f(x) = y
We have the point:
(x, y)
From, f(-3) = 3, we have the point:
(-3, 3)
From f(3) = -1, we have the point:
(3, -1)
Thus, we have the points:
(x1, y1) ==> (-3, 3)
(x2, y2) ==> (3, -1)
To write a linear equation, applt the slope-intercept form:
y = mx + b
Where m is the slope and b is the y-intercept.
To find the slope, apply the formula:

The slope is -⅔

To solve for the y-intercept, b, susbstitute either of the points for the value of x and y.
Take the point: (-3, 3), substitute -3 for x and 3 for y:

The y-intercept, b is = 1
Therefore, the equation for thr linear function is:

ANSWER:
