Question

Point C has the coordinates (-1, 4) and point D has the

coordinates (2,0). What is the distance between points
C and D?

Answer 1

For this case we have that the distance between two points is given by the following formula:

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

We have the following points:

`(x_ {1}, y_ {1}): (-1,4)\\(x_ {2}, y_ {2}): (2,0)`

Substituting we have:

`d = \sqrt {(2 - (- 1)) ^ 2+ (0-4) ^ 2}\\d = \sqrt {(2 + 1) ^ 2 + (- 4) ^ 2}\\d = \sqrt {(3) ^ 2 + (- 4) ^ 2}\\d = \sqrt {9 + 16}\\d = \sqrt {25}\\d = 5`

Thus, the distance between the points is 5 units.

Answer:

`d = 5`