Answer
$y=3x+3$
Work Step by Step
A line in slope-intercept form has the equation:
$y=mx+b$ ($m=slope$, $b=y-intercept$)
We see from the table that the point $(0,3)$ corresponds to the $y$-intercept. Thus $b=3$.
To calculate the slope between points $(x_1,y_1)$ and $(x_2,y_2)$, we use the formula:
$slope=m=\frac{y_2-y_1}{x_2-x_1}$
We plug in the points $(0,3)$ and $(2,9)$:
$slope=m=\frac{9-3}{2-0}=\frac{6}{2}=3$
Thus the equation must be:
$y=3x+3$
