Skill: Find vertical distance between points

Explanation and Free Practice Resources

Vertical distance between two points with the same xx-coordinate is the number of units separating their yy-coordinates, found by taking the absolute value of their difference, ∣y2−y1∣\lvert y_2-y_1\rvert. On a coordinate plane, this is the length of the vertical segment between the points, regardless of which point is higher; the horizontal coordinates do not affect it.

Detailed Explanation: Find vertical distance between points

When two points have the same xx-coordinate, they are directly above or below each other. Their vertical distance is the number of units between their yy-coordinates.

Use the formula:

vertical distance=∣y2−y1∣\text{vertical distance}=\lvert y_2-y_1\rvert

The absolute value makes the answer positive, no matter which point is higher.

Example: Find the vertical distance between A(−3,5)A(-3,5) and B(−3,−2)B(-3,-2).

  1. Identify the yy-coordinates: 55 and −2-2.

  2. Subtract the yy-coordinates:

−2−5=−7 -2-5=-7
  1. Take the absolute value:

∣−7∣=7 \lvert -7\rvert=7

The vertical distance between the points is 77 units. The xx-coordinate, −3-3, does not affect the vertical distance.

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Cartesian Grid - Distance Between Coordinates (Straight)


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