Answer
The slope is $-\frac{2}{3}$ and the y-intercept is $2$.
Work Step by Step
The equation we are given is in standard form. In order for us to easily see the slope and the y-intercept, we want to rewrite the equation into slope-intercept form.
To rewrite the equation in slope-intercept form, we must isolate $y$.
First, we subtract $2x$ from both sides:
$$3y = -2x + 6$$
To isolate $y$, we divide both sides by $3$.
$$y = -\frac{2}{3}x + 2$$
We can now see that the slope is $-\frac{2}{3}$ and the y-intercept is $2$.
