To find the x-intercept of the line given by the equation 4x + 2y = 12, we need to determine the point where the line crosses the x-axis. This occurs when the value of y is equal to zero.
We start by substituting y = 0 into the equation:
4x + 2(0) = 12
This simplifies to:
4x = 12
Next, we solve for x by dividing both sides by 4:
x = 3
Therefore, the x-intercept of the line is at the point (3, 0). This means that when y is zero, x is equal to 3, indicating where the line intersects the x-axis.