Question

Find the distance between the two points. Show your work.
(−4, 7) and (4, 0)

Answer 1

Distance formula: (D = Distance)

D =
`\sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^2 }`

Now replace each variable

D =
`√([(4-(-4)]^2 + (0-7)^2)` The 4-(-4) would simplify to 0

D =
`√((0)^2 + (-7)^2)` Further simplify

D =
`√(49)`

D = 7, -7 Distance can't be negative

Thus, D = 7