The distance, in units, from the school to the library and then the distance from the library to the park is 15 units.
<h3>What is the length of any line on the graph?</h3>
The distance or length of any line on the graph,
D = √{(x₂ - x₁)² + (y₂ - y₁)²}
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
The distance from school to the library is SL, therefore,
![\rm SL = \sqrt{(4-0)^2 + (1-4)^2} = 5\ units](https://tex.z-dn.net/?f=%5Crm%20SL%20%3D%20%5Csqrt%7B%284-0%29%5E2%20%2B%20%281-4%29%5E2%7D%20%3D%205%5C%20units)
The distance from library to the park is LP, therefore,
![\rm LP = \sqrt{(-4-4)^2 + (-5-1)^2} = 10\ units](https://tex.z-dn.net/?f=%5Crm%20LP%20%3D%20%5Csqrt%7B%28-4-4%29%5E2%20%2B%20%28-5-1%29%5E2%7D%20%3D%2010%5C%20units)
Now, the distance, in units, from the school to the library and then the distance from the library to the park is 15 units (10 units + 5 units).
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