A flood move your house exactly 4 blocks to the left and two blocks down plot and state the points of the new location of your house with a different color name the new color you use on the graph here

1 answer

To plot the new location of your house after it has moved due to a flood, let's start with some initial coordinates.

Assume your original house is located at point \( (x, y) \) on a grid. If your house moves 4 blocks to the left and 2 blocks down, the new coordinates can be calculated as follows:

  • Moving left (which subtracts from the x-coordinate): \( x - 4 \)
  • Moving down (which subtracts from the y-coordinate): \( y - 2 \)

So, the new coordinates would be \( (x - 4, y - 2) \).

Example

If your original house is at the point \( (6, 5) \):

  1. Move 4 blocks to the left: \( 6 - 4 = 2 \)
  2. Move 2 blocks down: \( 5 - 2 = 3 \)

The new coordinates of your house would be \( (2, 3) \).

Color for Graph

Let's say we represent the original location of the house in blue and the new location in green.

Summary of Points

  • Original Location: \( (6, 5) \) in Blue
  • New Location: \( (2, 3) \) in Green

You can plot these points accordingly on a graph, marking the original location in blue and the new location in green.