Find the distance between (2,3) and (-4,-9). Round your answer to the nearest hundredth, if necessary.

1 answer

Using the distance formula, we have
d = sqrt((x2-x1)^2 + (y2-y1)^2)
d = sqrt((-4-2)^2 + (-9-3)^2)
d = sqrt((-6)^2 + (-12)^2)
d = sqrt(36 + 144)
d = sqrt(180)
d ≈ 13.42
The distance between (2,3) and (-4,-9) is approximately 13.42.