Find the length of the line segment joining the points (1, 2) and (1, 5).

Find the length of the line segment joining the points (1, 2) and (1, 5).

Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (1, 5).
Step 2: Notice that both points have the same x-coordinate (1). This means the line segment is vertical.
Step 3: To find the length of the vertical line segment, subtract the y-coordinates of the two points. The y-coordinates are 2 and 5.
Step 4: Calculate the difference: 5 - 2 = 3.
Step 5: The length of the line segment is the absolute value of the difference, which is |3| = 3.

Distance Formula – The distance between two points in a Cartesian plane can be calculated using the formula |y2 - y1| for vertical or |x2 - x1| for horizontal segments.
Vertical Line Segments – When points have the same x-coordinate, the length of the segment is the absolute difference of their y-coordinates.