Final answer:
The equation of the linear function represented by the table is y = -5x + 3.
Step-by-step explanation:
To find the equation of a linear function in slope-intercept form, we need to determine the values of the slope (m) and y-intercept (b). Looking at the given table of values:
- Choose two points from the table, let's choose (-1, 8) and (2, -7).
- Calculate the slope by using the formula m = (y2 - y1) / (x2 - x1). For our chosen points, the slope is (-7 - 8) / (2 - (-1)) = -15 / 3 = -5.
- Next, use one of the points and the calculated slope in the equation y = mx + b. Let's use (-1, 8). Rearranging the equation, we have 8 = -5(-1) + b. Solving for b, we get b = 8 - 5 = 3.
Therefore, the equation of the linear function represented by the table is y = -5x + 3.