To determine the x-intercept of the line given by the equation 6x + 2y = 18, we follow a straightforward process. The x-intercept is the point where the line crosses the x-axis, which occurs when the value of y is zero.
Here are the steps to find the x-intercept:
- Set y = 0 in the equation.
- The equation now looks like this: 6x + 2(0) = 18
- This simplifies to: 6x = 18
- Next, divide both sides by 6: x = 3
Therefore, the x-intercept of the line is (3, 0). This means that the line crosses the x-axis at the point where x = 3 and y = 0.
If you were to graph the line, this point would be clearly visible as the place where the line touches the x-axis.