The distance between two points:
[tex] \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }[/tex]
From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:
[tex] \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } [/tex]
Hence the distance between two points is √89.
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