Answer:
[tex] \sqrt{233} [/tex]
Step-by-step explanation:
Given:
(1, -7) and (9, 6)
Required:
Distance between the two points
Solution:
Distance formula is given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (1, -7) = (x_1, y_1) [/tex]
[tex] (9, 6) = (x_2, y_2) [/tex]
Plug in the values
Distance between both points = [tex] d = \sqrt{(9 - 1)^2 + (6 -(-7))^2} [/tex]
[tex] d = \sqrt{(8)^2 + (13)^2} [/tex]
[tex] d = \sqrt{64 + 169} [/tex]
[tex] d = \sqrt{233} [/tex]
