Question

Angelica uses the point to represent the location of her house and uses the point to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Please show your work.

Answer 1

From the graph, angelica's house is represented by the point (4, 3) and the gas station is represented by the point (10, 8).

The distance between two given points in the xy-plane is given by

`d= √((x_2-x_1)^2+(y_2-y_1)^2)`
where:

`(x_1, y_1)=(4, 3) \ and \ (x_2, y_2)=(10, 8)`

Thus

`d= √((10-4)^2+(8-3)^2) \\ = √(6^2+5^2) = √(36+25) \\ = √(61) =7.81`

Therefore, the distance of the gas station from Angelica's house is 7.81 miles.