Question

Calculate the length of AB if A is the point (2,3) and B is the point (-2,0)

Answer 1

Answer:

Formular for coordinate length:

$length = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y_{1} - y_{2})}^{2} }$

In considerance of coordinates given of A and B

$x _{1} \: \: is \: \: 2 \\ x_{2} \: \: is \: \: - 2 \\ y_{1} \: \: is \: \: 3 \\ y_{2} \: \: is \: \: 0$

therefore substitute:

$length = \sqrt{ { \{2 - ( - 2) \}}^{2} + {(3 - 0)}^{2} } \\ \\ = \sqrt{ {(2 + 2)}^{2} + {3}^{2} } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ \\ { \boxed{ \boxed{length \: \: is \: \: 5 \: units}}}$

Answer 2

Answer:

The distance between the two points is 5

Step-by-step explanation:

https://www.omnicalculator.com/math/distance