Answer: y = -3x + 2
Step-by-step explanation: The slope-intercept form of the linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m) of the linear function, we can use the formula:
m = (change in y) / (change in x)
By using two points in the table (-3,11) and (2,-4), we can find the slope:
m = ( -4 - 11) / ( 2 - (-3)) = -15 / 5 = -3
Now, we know the slope, we can use any point from the table to find the y-intercept (b) by substituting the point's x and y values into the equation and solving for b:
y = -3x + b
using the point (-3, 11)
11 = -3 * (-3) + b
11 = 9 + b
b = 2
So the equation of the linear function represented by the table in slope-intercept form is:
y = -3x + 2