Final answer:
The coordinates of the x-intercept for the line through (3, 2) and (3, 6) are (3, 0), as this is a vertical line with equation x = 3.
Step-by-step explanation:
The question asks us to find the coordinates of the x-intercept for the line that goes through the points (3, 2) and (3, 6). First, we need to notice that both points have the same x-coordinate, which means that this is a vertical line. Vertical lines have the equation x = c, where c is a constant, and in this case, c is 3 because that is the x-value for both points given. Vertical lines do not cross the x-axis except at the point equal to the x-coordinate of the line. Therefore, the x-intercept will have the same x-coordinate as both given points.
Thus, the coordinates of the x-intercept for this line are (3, 0).