Question

Determine the lengths of the line segment with the end points (1,-3) and (9,3)

Answer 1

To solve this problem, we must use the distance formula

d = √(x₂ - x₁)² + (y₂ - y₁)²

x₂ = 9; x₁ = 1

y₂ = 3; y₁ = -3

d = √(9 - 1)² + (3 - (-3))²

d = √8² + 9²

d = √64 + 81

d = √145

d ≈ 12.04

Hope this helps!

Answer 2

10 units

Explanation:

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We have the points (1, -3) and (9, 3). Substitute:

`d=√((9-1)^2+(3-(-3))^2)=√(8^2+6^2)=√(64+36)=√(100)=10`