Question

Find the distance between the two points.

(−1, −3), (1, 3)

Answer 1

`2√(10)` units

Explanation:

Use the distance formula
`d = √((x_2-x_1)^2+(y_2-y_1)^2) \\` to find the distance between the two points. Substitute the x and y values of the points (-1,-3) and (1,3) into the formula and simplify:

`d =√((3-(-3))^2+(1-(-1))^2) \\d =√((3+3)^2+(1+1)^2) \\d = √((6)^2+(2)^2) \\d = √(36+4) \\d = √(40) \\d = 2√(10)`

So, the distance is
`2√(10)` units.