Question

Find the distance that the points is given on the graph ?

Answer 1

From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:

$\large \boxed{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }$

Substitute these points in the formula.

$\large{ \sqrt{ {(2 - 4)}^{2} + {( - 1 - 0)}^{2} } } \\ \large{ \sqrt{ {( - 2)}^{2} + {( - 1)}^{2} } } \\ \large{ \sqrt{4 + 1} \longrightarrow \sqrt{5} }$

Hence, the distance is √5

Answer

• √5