In exercises 13 and 14, find the distance between the two points.
A(-1,1) and B (3, -5) // C(2,4) and D(5, -4)
Answers
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
What is the straight line distance between two distinct points on a Cartesian plane?
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:
What is the straight line distance between two distinct points on a Cartesian plane?