Point e is located at (-2,2) and point f is located at (4,-6). Whats the distamce between points e amd f?
Use the distance between 2 points formula ...
d = √( (4 - (-2))^2 + (-6-2)^2 )
= √(36+64)
= √100 = 10
To find the distance between two points in a two-dimensional Cartesian coordinate system, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and can be stated as follows:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, point e is located at (-2, 2), which means that x1 = -2 and y1 = 2. Point f is located at (4, -6), so x2 = 4 and y2 = -6. Substituting these values into the distance formula, we get:
Distance = √((4 - (-2))^2 + (-6 - 2)^2)
= √((4 + 2)^2 + (-6 - 2)^2)
= √((6)^2 + (-8)^2)
= √(36 + 64)
= √(100)
= 10
Therefore, the distance between points e and f is 10 units.