Question

What is the distance between points (-2, -5) and (-14, 4) on the coordinate plane

•9
•12
•14
•15

Answer 1

15 units

Explanation:

`distance formula =\sqrt{(x_(2) -x_(1) )^(2) + (y_2 -y1)^(2) } } \\`

`x_(1) = -2\\x_(2) = -14\\y_(1) = -5\\y_(2) = 4`

`distance\\= \sqrt{(-14 - -2)^(2) + (4 - -5)^2 } \\= √((-12)^2 + (9)^2) \\= √(144 + 81) \\= √(225) \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units`

Hope it helps....