2 -7
-5
-5
-4
-3
-2
51
2
3
4
5
6
D
-2
3
E
-4
-5
What is the approximate distance between points D and E? Round your answer to the nearest hundredth.

 If the coordinates are D: (-2,3) and E: (-4.-5)

the distance between the coordinates is about 8.25

Explanation: Use the Pythagorean Theorem  a² + b² = c²

Imagine a triangle formed on the grid of the graph with the difference in y values as the altitude, the difference in x-values as the base and c is the hypotenuse, the distance between the coordinates.

The difference in the y-values is 3 -(-5) = 8

The difference in the x-values is -2 -(-4) = 2

8² + 2² = c²

64 + 4 = 68   To find c, take the square root of c²

√68 = 8.246211251

Rounding to the nearest hundredths, that is 8.25