Answer:
The equation of a linear function is:
Step-by-step explanation:
Given the table
x y
-10 -16
-3 -2
1 6
2 8
Determining the slope between the points (-10, -16), (-3, -2)




Determining the slope between the points (-3, -2), (1, 6)


Determining the slope between the points (1, 6),(2, 8)


As the slope between the points is the same. Thus, the table represents the linear function.
Using the point-slope form of the line equation

substituting the values m = 2 and any point let say (1, 6)




Therefore, the equation of a linear function is: