Answer
$\sqrt {53}$ units
Work Step by Step
Use the formula $d(P_1,P_2)=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}$:
$d((4,-3),(6,4))
\\=\sqrt {(6-4)^2+[4-(-3)]^2}
\\=\sqrt {2^2+7^2}
\\=\sqrt {4+49}
\\=\sqrt {53}$
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