Final answer:
Absolute value can be used to find the distance between two points on a graph in a real-world situation by taking the absolute value of the difference between the x-coordinates and the y-coordinates of the points. This method can be applied to finding the distance between cities on a map, for example.
Step-by-step explanation:
Absolute value can be used to find the distance between two points on a graph in a real-world situation. The absolute value of a number represents its distance from zero on a number line. In the context of a graph, you can use the absolute value of the difference between the x-coordinates and the y-coordinates of the two points to find the distance between them.
For example, let's say you want to find the distance between two cities on a map. You can represent the cities as points on a graph, with the x-coordinate representing the east-west position and the y-coordinate representing the north-south position. By taking the absolute value of the difference between the x-coordinates and the y-coordinates of the two cities, you can find the distance between them.
Let's say City A has coordinates (2,5) and City B has coordinates (7,9). The absolute value of the difference between the x-coordinates is |2-7| = 5, and the absolute value of the difference between the y-coordinates is |5-9| = 4. Therefore, the distance between the two cities is sqrt(5^2 + 4^2) = sqrt(41).
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