Question

What is the distance between the two endpoints in the graph below? If necessary, round your answer to two decimal places.

Answer 1

Answer:

C. $d = 15.81 units$

Step-by-step explanation:

Given:

2 end points on a graph => (5, 6) and (-4, -7)

Required:

Distance between them

SOLUTION:

Distance between two points in a graph can be calculated using $distance (d) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Where,

$(-4, -7) = (x_1, y_1)$

$(5, 6) = (x_2, y_2)$

Plug in the values into the formula and solve

$d = \sqrt{(5 - (-4))^2 + (6 - (-7))^2}$

$d = \sqrt{(5 + 4))^2 + (6 + 7))^2}$

$d = \sqrt{(9)^2 + (13)^2}$

$d = \sqrt{81 + 169}$

$d = \sqrt{250}$

$d = 15.81 units$