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UkoKoshka [18]
3 years ago
14

L REALLY NEED HELL PLEASE SOMEONE

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

The equation for the function g is g(x) = \frac{12}{5} x - \frac{29}{5} ⇒ C

Step-by-step 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 = \frac{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 = \frac{-1--13}{2--3} = \frac{-1+13}{2+3} = \frac{12}{5}

∴ m = \frac{12}{5}

→ Substitute in the form of the equation above

∴ g(x) = \frac{12}{5} x + b

∵ There is only one choice that has m = \frac{12}{5}

∴ The equation for the function g is g(x) = \frac{12}{5} x - \frac{29}{5}

∴ Choice C represents the equation of function g

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