On a map, an art gallery is located at (13,-3). A car wash is located at(13,-5) . If each unit on the map is a city block, how many city blocks is the art gallery from the museum?

The art gallery is 2 city blocks from the car wash

Step-by-step explanation:

If the x-coordinates of two points on a line equal, then the line is a vertical lineThe length of a vertical segment whose endpoints are (x, y1) and (x, y2) is Iy2 - y1I

Let us solve the question

∵ The art gallery is located at the point (13, -3)

∴ x1 = 13 and y1 = -3

∵ A car wash is located at (13, -5)

∴ x2 = 13 and y2 = -5

∵ x1 = x2 = 13

→ That means the gallery and the car wash located vertically over each other

∴ The distance between them = Iy2 - y1I

∵ y1 = -3 and y2 = -5

∴ The distance between them = I-5 - (-3)I

∴ The distance between them = I-5 + 3I

∴ The distance between them = I-2I

→ Remember the absolute value cancel the negative sign

∴ The distance between them = 2 units

∵ Each unit on the map is a city block

∵ The distance between them is 2 units

→ That means the vertical distance between them is 2 city blocks

∴ The art gallery is 2 city blocks from the car wash

The first answer is correct

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