The distance between two points is 14.77
The given points coordinates:
[tex](x_1,y_1) = (-4,6) \ \ \ and\\\\(x_2,y_2) = (3,-7)[/tex]
To find:
- the distance between the two points
The distance between two points is calculated as:
[tex]distance = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2} \\\\distance = \sqrt{(3--4)^2 +(-7-6)^2} \\\\ditsance = \sqrt{(7)^2+(-13)^2} \\\\distance = \sqrt{(49) +(169)} \\\\distance = \sqrt{218} \\\\distance = 14.77[/tex]
Thus, the distance between the two given points is 14.77
Learn more here: https://brainly.in/question/2766974?tbs_match=3
