Answer:
The length in units of the line segment with endpoints at (1, 4) and (3, 7) is √13 units
Explanation:
To find the length of the line segment, we will follow the steps below;
first, write down the distance formula
Let A=(1,4) and B=(3,7)
AB = √(x₂-x₁)² + (y₂-y₁)²
From the question given, the point given are (1,4) and (3,7), this implies that
x₁ =1 y₁ =4 x₂ =3 y₂=7
Lets insert the values into the formula;
AB = √(x₂-x₁)² + (y₂-y₁)²
AB = √(3-1)² + (7-4)²
=√2² + 3²
=√4 + 9
=√13 units
The length in units of the line segment with endpoints at (1, 4) and (3, 7) is √13 units