You are just beginning your life as an adult and have bought a house in a new

housing development. Your house is located at
A (2,2),
B (4,2),
C (4,4),
D (3,5),
E (2,4).
Question 1
Plot the points where your house is located, in your favorite color. Name this color
here as the color of the original location.
A flood moves your house exactly 4 blocks to the left and 2 blocks down.
explain your answer

1 answer

To plot the points where the house is located, we can use a coordinate grid. Each point represents the intersection of two perpendicular lines. Let's draw a grid with labeled points A (2,2), B (4,2), C (4,4), D (3,5), and E (2,4).

-2 -1 0 1 2 3 4 5
-------------------------------------------------
6 | |
5 | |
4 | C |
3 | E D |
2 | A B |
1 | |
0 | |
-1 | |
-2 | |
-3 | |
-------------------------------------------------
Now, let's consider the flood that moves the house 4 blocks to the left and 2 blocks down. This means that all the coordinates of the points of the house will change accordingly.

Point A (2,2) will move 4 blocks to the left and 2 blocks down, resulting in the new coordinates of A: (-2, 0).

Point B (4,2) will also move 4 blocks to the left and 2 blocks down, resulting in the new coordinates of B: (0, 0).

Point C (4,4) will move 4 blocks to the left and 2 blocks down, resulting in the new coordinates of C: (0, 2).

Point D (3,5) will move 4 blocks to the left and 2 blocks down, resulting in the new coordinates of D: (-1, 3).

Point E (2,4) will move 4 blocks to the left and 2 blocks down, resulting in the new coordinates of E: (-2, 2).

Now, we can plot these new points on the same grid. We will name this color as "Blue" to represent the new location.

-2 -1 0 1 2 3 4 5
-------------------------------------------------
6 | |
5 | |
4 | C (0,2) |
3 | E (-2,2) D (-1,3)|
2 | A (-2,0) B (0,0) |
1 | |
0 | |
-1 | |
-2 | |
-3 | |
-------------------------------------------------

Therefore, the color of the original location is "Blue" after the house is moved due to the flood.