What is the x-intercept of the equation x + 2y = 6?

To find the x-intercept of the equation (x + 2y = 6), you need to set (y) to 0. The x-intercept is the point where the graph of the equation crosses the x-axis, which occurs when the value of (y) is zero.

Starting with the original equation:

[

x + 2(0) = 6

]

This simplifies to:

[

x = 6

]

Thus, the x-intercept is at the point where (x = 6) and (y = 0), indicating that the correct answer is 6, which means the graph intersects the x-axis at this point.

Knowing how to find the x-intercept is helpful for graphing linear equations and understanding their behavior in the coordinate plane.