Question

What is the length of the segment with end points -3,4 and 5,4

Answer 1

8

Explanation:

The distance or the length between two points can be computed using the formula:

`d = √((X_2-X_1)^2+(Y_2-Y_1)^2)`

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=√((X_2-X_1)^2+(Y_2-Y_1)^2)\\\\ =√((5-(-3))^2+(4-4)^2)\\\\ =√(8^2 + 0^2)\\\\ =√(8^2) \\\\=8`