Find the distance between the points (–9,5) and (–3,–9).
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (-9, 5) and (-3, -9). Substituting the values into the formula:
d = √((-3 - (-9))^2 + (-9 - 5)^2)
= √(6^2 + (-14)^2)
= √(36 + 196)
= √232
The distance between the points (-9, 5) and (-3, -9) is √232, which is approximately 15.23.