using the distance formula ( Pythagorean identity )
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (5, - 6) and (x₂, y₂) = (2, 3 )
d = √ (2 - 5 )² + (3 + 6)² = √(9 + 81 ) = √90 = 3√10 ≈ 9.5 ( 1 dec. place)
If you plot the points on a graph, you will see that the distance on the x-axis is from 5 to 2 which equals 3 and the distance on the y-axis is from -6 to 3 which equals 9
Pythagorean Theorem:
a² + b² = c² ; where c is the hypotenuse
3² + 9² = c²
9 + 81 = c²
90 = c²
√90 = √c2
3√10 = c
Answer: 3√10 ≈ 9.5
