Final answer:
A vertical line through the point (1, -2) will intersect the x-axis at the point (1, 0) because all points on a vertical line share the same x-coordinate.
Step-by-step explanation:
Intersection of two lines is a point at which both lines meet. When two lines share a common point, they are called intersecting lines. This common point that exists on all intersecting lines is called the point of intersection. The two non-parallel straight lines which are co-planar will have an intersection point.
In this case, if a vertical line is drawn through the point (1, -2), then it intersects the x-axis at the point where the y-coordinate is zero.
Since a vertical line has all points with the same x-coordinate, we simply change the y-coordinate to 0 while keeping the x-coordinate the same
Therefore, the vertical line through (1, -2) will intersect the x-axis at the point (1, 0).