The length of the line segment are as follows
(7, 2) and (11, -2) = 5.66 units
(6, 4) and (6, -8) = 12 units
(8, - 10) and (5, -10) = 3 units
(-2, -6) and (-2, 5) = 11 units
(-5, 2) and (-5, -4) = 6 units
How to find length of line
The length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
distance between points (7, 2) and (11, -2) is calculated as follows
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
d =√{(11 - 7)² + (-2 - 2)²}
d =√{16 + 16}
d = √32
d = 5.66 units
2. Length = √((6 - 6)² + (-8 - 4)²} = √(0 + 144) = √(144) = 12 units
3. For the line segment (8, -10) and (5, -10)
Length = √((5 - 8)² + (-10 - (-10))²} = √(9 + 0) = √(9) = 3 units
4. For the line segment (-2, -6) and (-2, 5):
5 - (-6) = 5 + 6 = 11 units
5. For the line segment \((-5, 2)\) and \((-5, -4)\):
2 - (-4) = 2 + 4 = 6 units