Question

What is the length of the line segment AB?

• A. 8 units
• B. 1 units
• C. 13 units
• D. 15 units

Answer 1

The correct option is C 13 units

We have,

$A=(-1,3),B=(4,-9)$

We know that the distance between two points

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

Therefore,

$d=\sqrt{(4-(-1){)}^2+(-9-3{)}^2}$

$d=\sqrt{(4+1{)}^2+(-12{)}^2}$

$d=\sqrt{(5{)}^2+(-12{)}^2}$

$d=\sqrt{25+144}$

$d=\sqrt{169}$

$d=13units$

Hence, this is the answer.