Find the distance between (5, 5) and (4, 4).

Find the distance between (-4, 7) and (-7,-6).

distance^2= (x1-x2)^2 + (y1-y2)^2

distance^2=(5-4)^2+(5-4)^2=1+1
distance= sqrt 2

(3, -2) and (-5, 3).

To find the distance between two points in a coordinate plane, you can use the distance formula. The distance formula is derived from the Pythagorean theorem.

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, and d represents the distance between them.

In this case, the coordinates are (5, 5) and (4, 4). Let's plug these values into the distance formula:

d = √((4 - 5)² + (4 - 5)²)
= √((-1)² + (-1)²)
= √(1 + 1)
= √2

Therefore, the distance between (5, 5) and (4, 4) is √2, which is approximately 1.41 units.