Find the distance between the points (2,5) and (
–
6,
–
10).
To find the distance between two points in a coordinate plane, we can use the distance formula.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates are (2, 5) and (-6, -10).
Using the distance formula, we can calculate the distance:
d = √((-6 - 2)^2 + (-10 - 5)^2)
= √((-8)^2 + (-15)^2)
= √(64 + 225)
= √289
= 17
Therefore, the distance between the points (2, 5) and (-6, -10) is 17 units.