Question

Locate and label (4,5) and (4, -3), Draw the line segment between

the end points given on the coordinate plane. How long is the line
segment that you drew? Explain.

Answer 1

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`d=√((4-4)^2+(-3-5)^2)`

`d=√((0)^2+(-8)^2)`

`d=√(0+64)`

`d=√(64)`

`d=8`

Therefore, the length of the line segment is 8 units.