Answer:
[tex]2\sqrt{10}[/tex] units
Step-by-step explanation:
Use the distance formula [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex] 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:
[tex]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}[/tex]
So, the distance is [tex]2\sqrt{10}[/tex] units.
