We can calculate the distance between two points by using the distance formula.
Distance formula: [tex] \sqrt{(x2-x1)^2 + (y2-y1)^2} [/tex]
Our two points we are given in this problem are: (1, 4) and (-5, -4), so plug in the appropriate points into the formula.
x2 = -5, x1 = 1; y2 = -4, y1 = 4
[tex] \sqrt{(-5-1)^2 + (-4-4)^2} [/tex]
[tex] \sqrt{(-6)^2 + (-8)^2} [/tex] = [tex] \sqrt{(36) + (64) = 100} [/tex]
[tex] \sqrt{100} = 10 [/tex]
The distance between the two points, (1, 4) and (-5, -4) is 10 units.
