Question

What’s the distance between the points that’s given on the graph?

Answer 1

The distance between two points:

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

From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:

$\large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} }$

Hence the distance between two points is √89.

Answer

• √89