Question 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)

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: 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: https://brainly.com/question/12661159 #SPJ1 Reply

distancesbetween the twopointsare:## What is the straight line distance between two distinct points on a Cartesian plane?

pointson aCartesian planeand we must calculate the length of theline segmentgenerated by each pair ofpoints. This can be done by usingPythagorean theorem:(1)Case 1Case 2distancesbetween the twopointsare:distances between two points: https://brainly.com/question/12661159