Answer:
The equation for the function g is g(x) = x - ⇒ C
Step-by-step explanation:
The form of the equation of the linear function is g(x) = m x + b, where
The formula of the slope is m = , where (x1, y1) and (x2, y2) are 2 points on the line represents the function
From the given table
∵ The points (-3, -13) and (2, -1) belong to the function g(x)
∴ x1 = -3 and y1 = -13
∴ x2 = 2 and y2 = -1
→ Substitute them in the formula above to find m
∵ m = = =
∴ m =
→ Substitute in the form of the equation above
∴ g(x) = x + b
∵ There is only one choice that has m =
∴ The equation for the function g is g(x) = x -
∴ Choice C represents the equation of function g