Question

What is the distance between the points (-3, -4) and (5, 2)?

Answer 1

Using the picture:

Between (-3, -4) and (5, -4) is:
The difference is in the x units:  5 - (-3) = 5 + 3 = 8

Between (5, 2) and (5, -4) is:
The difference is in the y units:  2 - (-4) = 2 + 4 = 6

We know the shape is a right angled triangle:

By applying Pythagoras' Theorem:

let the hypotenuse be x:

x² = 6² + 8²

x² = 36 + 64

x² = 100

Take square root of both sides

√x²  = √100

x = 10

Distance between the 2 points = 10 units.

Option D.