Find the distance between the points (-2, 3) and (4, 11) on the coordinate plane.
Solution
Problem
Find the distance between the points (-2, 3) and (4, 11) on the coordinate plane.
Use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
The points are (-2, 3) and (4, 11).
Substitute the coordinates:
d = √((4 - (-2))^2 + (11 - 3)^2)
Simplify the differences:
d = √(6^2 + 8^2)
d = √(36 + 64)
d = √100
d = 10
Therefore, the distance between the two points is 10 units.
Result
10 units