Answer:
The line intersects the x-axis at point (6, 0).
Step-by-step explanation:
The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). The x-intercept also determines the value of x when y = 0.
Given the linear equation in standard form, 2x + 3y = 12, we can find the x-intercept by setting y = 0:
2x + 3y = 12
2x + 3(0) = 12
2x + 0 = 12
2x = 12
Divide both sides by 2 to solve for x:
[tex]\mathsf{\frac{2x}{2}\:=\:\frac{12}{2}}[/tex]
x = 6
Therefore, the line intersects the x-axis at point, (6, 0).
