Question

L REALLY NEED HELL PLEASE SOMEONE

Answer 1

The equation for the function g is g(x) =
`(12)/(5)` x -
`(29)/(5)` ⇒ C

Explanation:

The form of the equation of the linear function is g(x) = m x + b, where

• m is the slope

• m is the y-intercept

The formula of the slope is m =
`(y2-y1)/(x2-x1)` , 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 =
`(-1--13)/(2--3)` =
`(-1+13)/(2+3)` =
`(12)/(5)`

∴ m =
`(12)/(5)`

→ Substitute in the form of the equation above

∴ g(x) =
`(12)/(5)` x + b

∵ There is only one choice that has m =
`(12)/(5)`

∴ The equation for the function g is g(x) =
`(12)/(5)` x -
`(29)/(5)`

∴ Choice C represents the equation of function g