How do you find the distance between (-2,6) and (-10,-9)?

1 Answer

d=17

Explanation:

Find the x value and the y value of the distances and then use the squares of the x and y to find the square root of the sum of the x and y squares.

The x distance equals -2 - (-10) = + 8

The y distance equal 6 - (-9) = + 15

x^2 + y^2 = d^2

(8)^2 + (15)^2 = d^2

64 + 225 = d^2

289 = d^2

sqrt 289 = sqrt d^2

d=17