Distance and the pythagorean theorem practice
Find the distance between (2, 3) and (-4, -9). Round your answer to the nearest hundredth, if necessary
To find the distance between two points in a coordinate plane, you can use the Pythagorean theorem.
Given the points (2, 3) and (-4, -9), let's label them as follows:
Point A: (x1, y1) = (2, 3)
Point B: (x2, y2) = (-4, -9)
The distance formula using the Pythagorean theorem is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
distance = √((-4 - 2)^2 + (-9 - 3)^2)
= √((-6)^2 + (-12)^2)
= √(36 + 144)
= √180
≈ 13.42
Therefore, the distance between (2, 3) and (-4, -9) is approximately 13.42.