Answer:
The art gallery is 2 city blocks from the car wash
Explanation:
- If the x-coordinates of two points on a line equal, then the line is a vertical line
- The 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