Question

Explain how to use the coordinates and absolute value to find the distance between points at (3, –7) and (3, 2).

Answer 1

Using the formula for the distance between two points, which is generated using coordinates and absolute value, we find that the distance between these two points is of 9 units.

Explanation:

Distance between two points:

Suppose that we have two points,
`(x_1,y_1)` and
`(x_2,y_2)`. The distance between them is given by:

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

This formula is generated using coordinates and absolute value.

In this question:

(3,-7) and (3,2). So

`D = √((3-3)^2+(2-(7))^2) = √(81) = 9`

The distance between these two points is of 9 units.