Question

What is the distance between the points M(-8,11) and N(3,7)?

Answer 1

11.7

Explanation:

The distance formula is: D =
`\sqrt{(x_(2) - x_(1)^(2) ) + (y_(2)-y_(1))^(2) }`

Take the coordinates of two points you want to find the distance between. Call one point Point 1 (x1,y1) and make the other Point 2 (x2,y2). It does not terribly matter which point is which, as long as you keep the labels (1 and 2) consistent throughout the problem.[1]

Answer 2

`\text{Given that,}\\\\(x_1,y_1) = (-8,11)~~\text{and}~~ (x_2,y_2) = (3,7)\\\\\text{Now,}\\\\\text{Distance,}~ d = √((x_2 -x_1)^2 +(y_2 -y_1)^2)\\\\~~~~~~~~~~~~~~~=√((3+8)^2 +(7-11)^2)\\\\~~~~~~~~~~~~~~~=√(11^2 + (-4)^2)\\\\~~~~~~~~~~~~~~~=√(121+16)\\\\~~~~~~~~~~~~~~~=√(137)\\\\~~~~~~~~~~~~~~~\approx 11.705~\text{units.}`