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.
To plot the points where your house is located, we can use a coordinate plane. We will plot the points A (2,2), B (4,2), C (4,4), D (3,5), and E (2,4) using your favorite color, which we'll call "blue" for this example.
A flood moves your house exactly 4 blocks to the left and 2 blocks down. To find the new location after the flood, we can subtract 4 from the x-coordinate and subtract 2 from the y-coordinate of each point.
The new coordinates of the points would be:
A: (2-4, 2-2) = (-2, 0)
B: (4-4, 2-2) = (0, 0)
C: (4-4, 4-2) = (0, 2)
D: (3-4, 5-2) = (-1, 3)
E: (2-4, 4-2) = (-2, 2)
Therefore, after the flood, the new location of your house can be plotted as:
A (-2, 0)
B (0, 0)
C (0, 2)
D (-1, 3)
E (-2, 2)
It's worth mentioning that the color of the original location doesn't change after the flood.