Question

Find the distance between the two points. (−1, −3), (1, 3)

Answer 1

Answer:

$2\sqrt{10}$ units

Step-by-step explanation:

Use the distance formula $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ 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:

$d =\sqrt{(3-(-3))^2+(1-(-1))^2} \\d =\sqrt{(3+3)^2+(1+1)^2} \\d = \sqrt{(6)^2+(2)^2} \\d = \sqrt{36+4} \\d = \sqrt{40} \\d = 2\sqrt{10}$

So, the distance is $2\sqrt{10}$ units.