Answer:
d = √218
Explanation:
[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(-4,6) =(x_1,y_1)\\(3,-7)=(x_2,y_2)\\\\=\sqrt{\left(3-\left(-4\right)\right)^2+\left(-7-6\right)^2}\\\\= \sqrt{(3+4)^2+(-7-6)^2}\\ \\d = \sqrt{(7)^2+(-13)^2}\\ \\d = \sqrt{49+169} \\\\d = \sqrt{218}[/tex]
