Question

Find the length of the line segment joining the points (1, 5) and (-7, -10).

• A. 10 units
• B. 13 units
• C. 17 units
• D. 21 units

Answer 1

The correct option is C 17 units

Given : Points (1, 5) and (-7, -10)

The distance between two points $(x_1,y_1)\text{and}(x_2,y_2)$ is $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}.$

The length of the line segment = $\sqrt{(-7-1{)}^2+(-10-5{)}^2}$

The length of the line segment = $\sqrt{(-8{)}^2+(-15{)}^2}$

The length of the line segment = $\sqrt{64+225}$

​​​​​​​The length of the line segment = $\sqrt{289}$

​​​​​​​​​​​​​​The length of the line segment = 17 units