Answer
Answer Choice $D$ : $y = 3x - 2$
Work Step by Step
We need to find the slope-intercept form of the table shown to the right.
$y = mx + b$
The formula for slope is $\frac{y_2 - y_1}{x_2-x_1}$. Let's say we take the coordinates $(-3,-11)$ and $(0,-2)$
$\frac{-2- (-11)}{0 - (-3)}$ = $\frac{9}{3}$ = $3$
Now, replace $m$ with $3$
$y = 3x + b$
The value of $y$ when $x$ is 0 is $-2$.
Replace $b$ with $-2$
$y = 3x - 2$
The answer is $D$
