Answer:
To find the distance between points A(4,6) and B(1,2), we can use the distance formula. The distance formula is derived from the Pythagorean theorem and helps us calculate the distance between two points in a coordinate plane. The formula is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of A(4,6) and B(1,2) into the formula, we get:
Distance = √((1 - 4)^2 + (2 - 6)^2)
= √((-3)^2 + (-4)^2)
= √(9 + 16)
= √25
= 5
So, the distance between points A(4,6) and B(1,2) is 5 units.