Question

Find the length of RS.

A. 40 units
B. 8 units
C. About 6.3 units
D. About 2.8 units

Answer 1

Given:

The two points on the graph are R(-2,-4) and S(-8,-6).

To find:

The length of RS.

Solution:

Distance formula: The distance between two points is

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Using the distance formula, the distance between R(-2,-4) and S(-8,-6) is

`d=√((-8-(-2))^2+(-6-(-4))^2)`

`d=√((-8+2)^2+(-6+4)^2)`

`d=√((-6)^2+(-2)^2)`

`d=√(36+4)`

On further simplification, we get

`d=√(40)`

`d=6.32455532`

`d\approx 6.3`

Therefore, the length of AB is about 6.3 units. So, the correct option is C.