Question

Friid the length of the line segment with the end points (7,2) and (-4,2).

Answer 1

The expression for the length of the line segment with the given coordinates of the end points of the line segment are express as:

`\text{ Length of Line segment=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

In the given question : We have Endpoints: (7,2) & (-4,2)

Substitute them in the expression of the length of line segment

`\begin{gathered} (x_1,y_1)=(7,2),(x_2,y_2)=(-4,2) \\ \text{ Length of Line segment=}\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{ Length of Line segment=}\sqrt[]{(-4-7_{})^2+(2-2)^2} \\ \text{ Length of line segment =}\sqrt[]{(-11)^2+(0)} \\ \text{Length of line segment=}\sqrt[]{121} \\ \text{Length of line segment=11 unit} \end{gathered}`

The length of line segment with end points (7,2) and (-4,2) is 11 unit

Answer: 11 unit