Question

Use the distance formula to determine the distance points (-5,5) and (1,-3)

Answer 1

For points (x1,y1) and (x2,y2)
D=$\sqrt{(x2-x1)^2+(y2-y1)^2}$

(-5,5)
(1,-3)
(x,y)
x1=-5
y1=5
x2=1
y2=-3

D=$\sqrt{(x2-x1)^2+(y2-y1)^2}$
D=$\sqrt{(1-(-5))^2+(-3-5)^2}$
D=$\sqrt{(6)^2+(-8)^2}$
D=$\sqrt{36+64}$
D=$\sqrt{100}$
D=10