What is the length of the line segment joining the points (2, 3) and (2, 7)?
Practice Questions
Q1
What is the length of the line segment joining the points (2, 3) and (2, 7)?
4
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3
6
Questions & Step-by-Step Solutions
What is the length of the line segment joining the points (2, 3) and (2, 7)?
Step 1: Identify the coordinates of the two points. The first point is (2, 3) and the second point is (2, 7).
Step 2: Recognize that both points have the same x-coordinate (2). This means the line segment is vertical.
Step 3: To find the length of the vertical line segment, use the formula for distance between two points with the same x-coordinate: Length = |y2 - y1|.
Step 4: Substitute the y-coordinates into the formula. Here, y1 = 3 and y2 = 7.
Step 5: Calculate the difference: |7 - 3| = |4|.
Step 6: The absolute value of 4 is simply 4, so the length of the line segment is 4.
