The given equation is;
[tex]\begin{gathered} 2x-3y=6 \\ \text{Express this in slope-intercept form;} \\ -3y=-2x+6 \\ \text{Multiply all through by -1} \\ 3y=2x-6 \\ \text{Divide by 3} \\ y=\frac{2x-6}{3} \\ y=\frac{2x}{3}-\frac{6}{3} \\ y=\frac{2}{3}x-2 \\ \text{When x=0,} \\ y=(0)x-2 \\ y=-2 \\ \text{When y=0} \\ 0=\frac{2}{3}x-2 \\ \frac{2}{3}x=2 \\ x=3 \end{gathered}[/tex]
The x-intercept is 3, and the y-intercept is -2
