The x-intercept of a line is the point where the line crosses the x-axis. At this point, the value of y is always 0. To find the x-intercept of the equation given, which is 4x + 2y = 12, we can follow these steps:
Step 1: Set y to 0
Start by replacing y with 0 in the equation:
4x + 2(0) = 12
Step 2: Simplify the equation
This simplifies to:
4x = 12
Step 3: Solve for x
Now, divide both sides of the equation by 4:
x = 12 / 4
Which simplifies to:
x = 3
Conclusion
Therefore, the x-intercept of the line is the point (3, 0). This means that when the line crosses the x-axis, it does so at x = 3.