The distances between the two points are:
- A(x, y) = (- 1, 1), B(x, y) = (3, - 5): d = 2√13
- C(x, y) = (2, 4), D(x, y) = (5, - 4): d = √73
<h3>What is the straight line distance between two distinct points on a Cartesian plane?</h3>
Herein we find two cases of two distinct points on a Cartesian plane and we must calculate the length of the line segment generated by each pair of points. This can be done by using Pythagorean theorem:
d = √[(Δx)² + (Δy)²] (1)
Where:
- Δx - Change between the two points in the x direction.
- Δy - Change between the two points in the y direction.
Now we proceed to calculate the straight line distance between each pair of points:
Case 1
d = √[[3 - (-1)]² + (- 5 - 1)²]
d = 2√13
Case 2
d = √[(5 - 2)² + (- 4 - 4)²]
d = √73
The distances between the two points are:
- A(x, y) = (- 1, 1), B(x, y) = (3, - 5): d = 2√13
- C(x, y) = (2, 4), D(x, y) = (5, - 4): d = √73
To learn more on distances between two points: brainly.com/question/12661159
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