Question

use the graph of g to find g(-12).
g(-12)=\square

Explanation:

Step1: Identify 2 points on line

Take points $(-10, 7)$ and $(0, -1)$

Step2: Calculate slope $m$

$m = \frac{y_2-y_1}{x_2-x_1} = \frac{-1-7}{0-(-10)} = \frac{-8}{10} = -\frac{4}{5}$

Step3: Find line equation

Use $y=mx+b$, $b=-1$: $y = -\frac{4}{5}x -1$

Step4: Substitute $x=-12$

$y = -\frac{4}{5}(-12) -1 = \frac{48}{5} -1 = \frac{48-5}{5} = \frac{43}{5} = 8.6$

Answer:

$8.6$ (or $\frac{43}{5}$)