Question

Find the distance between the points given. (-3, -6) and (3, 2)

Answer 1

Answer:

10 units

Step-by-step explanation:

Moving from (-3, -6) to (3, 2), x increases by 6.  Draw a triangle and use this 6 as the length of the base.  y increases by 8.  Label the height of the triangle with this 8.  Then find the hypotenuse (which is also the desired distance) by using the Pythagorean Theorem:

6^2 + 8^2 = d^2, where d is that distance:

36 + 64 = 100 = d^2, and so d = 10.  The distance in question is 10 units.