To write the rule or equation of the linear function we need to find the slope of the function first. Using any two points we can find the slope.
Using the first two points (-3, -1) and (0, 2).
Slope (m) of the function would be:
[tex]m= \frac{-1-2}{-3-0}= \frac{-3}{-3} =1 [/tex]
Using slope and the point (0,2) we can write the equation of the line as:
y - 2 = 1(x-0)
y = x + 2
Thus, the correct rule for the given linear function is x+2
