[tex]2x + 3y = 9\\3y = -2x + 9\\y = -\frac{2}{3}x + 3[/tex]
Look at the graph picture I attached
[tex]y = mx + c[/tex]
c is the intercept, which is why the graph crosses the y-axis at +3
to find where it crosses the x-axis, we make y = 0
[tex]y = 0\\\to -\frac{2}{3}x + 3 = 0\\-\frac{2}{3} = -3\\\frac{2}{3}x = 3\\2x = 9\\x = \frac{9}{2}\ \ (=4.5)[/tex]
