To find the distance between the given points [tex]\((-6, 8)\)[/tex] and [tex]\((-6, -3)\)[/tex] on the coordinate plane, you can follow these steps:
1. Identify the Coordinates:
The coordinates of the points are given as:
- Point A: [tex]\((-6, 8)\)[/tex]
- Point B: [tex]\((-6, -3)\)[/tex]
2. Observe the Coordinates:
Both points have the same x-coordinate ([tex]\(-6\)[/tex]), which means they lie on the same vertical line. Consequently, the distance between these points can be calculated directly using their y-coordinates.
3. Calculate the Difference in y-coordinates:
- The y-coordinate of Point A is [tex]\(8\)[/tex].
- The y-coordinate of Point B is [tex]\(-3\)[/tex].
The difference in their y-coordinates is calculated as:
[tex]\[
|8 - (-3)| = |8 + 3| = 11
\][/tex]
4. Conclude the Distance:
Since the points lie on the same vertical line, the distance between them is simply the absolute difference in their y-coordinates, which is [tex]\(11\)[/tex] units.
Therefore, the distance between the points [tex]\((-6, 8)\)[/tex] and [tex]\((-6, -3)\)[/tex] is [tex]\(11\)[/tex] units.
