Final answer:
The length of segment AB, where A is (-2,3) and B is (4,-5), is calculated using the distance formula and is found to be 10 units.
Step-by-step explanation:
To find the length of segment AB where point A is (-2,3) and point B is (4,-5), we use the distance formula which is derived from the Pythagorean Theorem. The formula to calculate the distance between two points (x1,y1) and (x2,y2) in a coordinate plane is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging the values into the formula, we get:
d = √[(4 - (-2))^2 + ((-5) - 3)^2]
= √[(4 + 2)^2 + (-5 - 3)^2]
= √[6^2 + (-8)^2]
= √[36 + 64]
= √100
= 10 units
Thus, the length of segment AB is 10 units.