## Introductory Algebra for College Students (7th Edition)

The slope is $-\frac{2}{3}$ and the y-intercept is $2$.
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 $2$.