Answer:
8
Step-by-step explanation:
The distance or the length between two points can be computed using the formula:
![d = \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28X_2-X_1%29%5E2%2B%28Y_2-Y_1%29%5E2%7D)
X₁ = x-coordinate of first point
X₂ = x-coordinate of the second point
Y₁ = y-coordinate of first point
Y₂ = y-coordinate of the second point
When we right down the coordinates of a point, we always start with the X and then the Y.
(X,Y)
You have the following coordinates or points
Point 1: (-3,4)
Point 2: (5,4)
Based on that we have the following given:
X₁ = -3
X₂ = 5
Y₁ = 4
Y₂ = 4
Now we just fill in the formula:
![d=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}\\\\ =\sqrt{(5-(-3))^2+(4-4)^2}\\\\ =\sqrt{8^2 + 0^2}\\\\ =\sqrt{8^2} \\\\=8](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28X_2-X_1%29%5E2%2B%28Y_2-Y_1%29%5E2%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%285-%28-3%29%29%5E2%2B%284-4%29%5E2%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B8%5E2%20%2B%200%5E2%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B8%5E2%7D%20%5C%5C%5C%5C%3D8)