The equation of the linear function represented by the table in slope-intercept form is y = -5x + 1.
What is the Slope-intercept form?
To find the equation of the linear function in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we need to follow these steps:
Find the slope (m) using any two points from the table. Let's use the points (-3, 16) and (1, -4):

Substitute the slope (m) and one of the points into the slope-intercept form to find the y-intercept (b). Let's use the point (1, -4):
-4 = (-5)(1) + b
b = -4 + 5
b = 1
Write the equation in slope-intercept form by substituting the values:
y = -5x + 1