Answer:
x-intercept is (9, 0) or 9.
Step-by-step explanation:
The xintercept is the x-coordinate of the point (a, 0) where the graph of the linear equation crosses the y-axis. The x-intercept is also the value of x when y = 0.
In order to find the x-intercept of the given linear equation, set y = 0:
-2x + 3y = 18
-2x + 3(0) = 18
-2x + 0 = 18
-2x = 18
Divide both sides by -2:
[tex]\frac{-2x}{-2} = \frac{18}{-2}[/tex]
x = 9
Therefore, the x-intercept is (9, 0) or 9.
