Question

Which expressions could be used to find the distance between points (-2, 8) and (7, 13) on a coordinate plane

Answer 1

Explanation:

Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length). We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:

d = √(5² + 9²) = √106, or approximately 10.3 units.