Find the distance between each pair of points

Question

asked Feb 7, 2023 194k views

1 Answer

Steven Canfield · Answer 1 · 2023-02-13T15:07:27+0000

Answer:

7.071068 ≈ 7.07

Explanation:

The distance, d, between 2 points (x1, y1) and (x2, y2) is given by the formula

$d = \sqrt {(x_(2) - x_(1))^2 + (y_(2) - y_(1))^2}$

The two points as determined from the graph are (1, 5) and (2, -2)

$d = \sqrt {(2 - 1)^2 + (-2 - 5)^2}$

$d = \sqrt {(1)^2 + (-7)^2}$

$d = \sqrt {{1} + {49}}$

$d = \sqrt {50}$

d = 7.071068