#### Answer

The graph has a slope of $\frac{2}{3}$ and a y-intercept of 0 when it should have a slope of $-\frac{2}{3}$ with a y-intercept of 2. The correct graph is shown below:

#### Work Step by Step

The equation $2x+3y=6$ must be written in slope-intercept form:
Get $y$ by itself by subtracting $2x$ from both sides of the equation to get $3y=-2x+6$
Divide 3 on both sides of the equation to get $y=$$-\frac{2}{3}x$$+2$
The slope is $-\frac{2}{3}$ and the y-intercept is 2.
The graph is shown with a slope of $\frac{2}{3}$ and a y-intercept of 0.