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

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(4-4)^2+(-3-5)^2}$

$d=\sqrt{(0)^2+(-8)^2}$

$d=\sqrt{0+64}$

$d=\sqrt{64}$

$d=8$

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