Answer: 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