Question

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

A.
16.45 units

B.
13 units

C.
15.81 units

D.
22 units

Answer 1

15.81

Explanation:

Answer 2

C.
`d = 15.81 units`

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) = √((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 = √((5 - (-4))^2 + (6 - (-7))^2)`

`d = √((5 + 4))^2 + (6 + 7))^2)`

`d = √((9)^2 + (13)^2)`

`d = √(81 + 169)`

`d = √(250)`

`d = 15.81 units`