Question

In 4-9, find the distance between each pair
of points.
4. (-5, 2) and (-5, 6)

Answer 1

To find the distance between two points with the same x-coordinate, subtract the y-coordinates and take the absolute value. The distance between the points (-5, 2) and (-5, 6) is 4 units.

Step-by-step explanation:

The question asks to find the distance between two points (-5, 2) and (-5, 6) on a two-dimensional Cartesian plane. Since both points have the same x-coordinate, they lie on a vertical line, and their distance apart is simply the difference in their y-coordinates.

This distance can be calculated as the absolute value of the difference between the y-coordinates of the two points.

Distance = |y2 - y1|

= |6 - 2|

= 4 units

Therefore, the distance between the points (-5, 2) and (-5, 6) is 4 units.