Given the two coordinates (−6, 5), and (−6, 10), what is the distance between them on a coordinate plane?
A. 5
B. 0
C. 15
D. 2
You are correct. Since the points have the same x-coordinate, they lie on a vertical line. Therefore, the distance between them is simply the difference between their y-coordinates:
10 - 5 = 5
So the correct answer is A. 5.
To find the distance between two points on a coordinate plane, we can use the formula for the distance between two points, which is the distance formula. The distance formula is derived from the Pythagorean theorem.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) and (x2, y2) are the coordinates of the two points.
Given the coordinates (-6, 5) and (-6, 10), we can substitute these values into the distance formula:
d = √((-6 - -6)^2 + (10 - 5)^2)
Simplifying this expression:
d = √(0 + 25)
d = √25
d = 5
Therefore, the distance between the two points (-6, 5) and (-6, 10) is 5 units.
So the correct answer is A. 5.
The bot is wrong, it is not 15
I guess it did not realize that the points lie vertically above each other,
so we just have to look at it to get the right answer