Answer: x intercept = 6
This is the location (6,0)
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Step-by-step explanation:
I assume you're talking about the boundary line of the inequality. The boundary line equation is 2x + 3y = 12
To find the x intercept, plug in y = 0 and solve for x
2x + 3y = 12
2x + 3(0) = 12
2x = 12
x = 12/2
x = 6
The boundary line 2x+3y = 12 crosses the x axis at x = 6.
We can say the x intercept is x = 6. This is the location (6,0).
Side note: the y intercept is y = 4, which is found by plugging in x = 0 and solving for y.