You can put this solution on YOUR website!
The x-intercept always occurs when y = 0.
This is where the curve either touches the x axis, or crosses over the x axis.
-6x+9y = -18
-6x+9*0 = -18
-6x = -18
x = -18/(-6)
x = 3
The x-intercept is located at (3,0)
Below is a graph to verify the answer.
Note that -6x+9y = -18 solves to y = (2/3)x-2 GeoGebra and Desmos are two of many options if you need a graphing calculator.
Or you can go old-school with something like a TI83.
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