Answer:
10
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let [tex](x_1,y_1)[/tex] = (-4, 2)
Let [tex](x_2,y_2)[/tex] = (2, -6)
Substituting given points into the formula:
[tex]\implies d=\sqrt{(2-(-4))^2+(-6-2)^2}[/tex]
[tex]\implies d=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]\implies d=\sqrt{36+64}[/tex]
[tex]\implies d=\sqrt{100}[/tex]
[tex]\implies d=10[/tex]
