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), and
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.
After the flood moves the house 4 blocks to the left and 2 blocks down, the new coordinates of the house would be:
A (-2, 0)
B (0, 0)
C (0, 2)
D (-1, 3)
E (-2, 2)
To represent this new location, let's choose the color blue.
explain how you got the answer
To determine the new coordinates of the house after it is moved 4 blocks to the left and 2 blocks down, we need to subtract 4 from the x-coordinate of each point and subtract 2 from the y-coordinate.
Given the original coordinates:
A (2, 2)
B (4, 2)
C (4, 4)
D (3, 5)
E (2, 4)
To move the house 4 blocks to the left, we subtract 4 from each x-coordinate:
A (2 - 4, 2) = (-2, 2)
B (4 - 4, 2) = (0, 2)
C (4 - 4, 4) = (0, 4)
D (3 - 4, 5) = (-1, 5)
E (2 - 4, 4) = (-2, 4)
To move the house 2 blocks down, we subtract 2 from each y-coordinate:
A (-2, 2 - 2) = (-2, 0)
B (0, 2 - 2) = (0, 0)
C (0, 4 - 2) = (0, 2)
D (-1, 5 - 2) = (-1, 3)
E (-2, 4 - 2) = (-2, 2)
Therefore, the new coordinates after the house is moved 4 blocks to the left and 2 blocks down are:
A (-2, 0)
B (0, 0)
C (0, 2)
D (-1, 3)
E (-2, 2)
Since no specific color was mentioned for the original location, I chose to represent the new location with the color blue.
Question 2
Plot and state the points of the new location of your house with a different color.
Name the new color you use on your graph here.
To plot the new location of the house after it was moved 4 blocks to the left and 2 blocks down, we will use the coordinates:
A (-2, 0)
B (0, 0)
C (0, 2)
D (-1, 3)
E (-2, 2)
Let's use the color green to represent the new location on the graph.
explain please
To plot the new location of the house after it was moved 4 blocks to the left and 2 blocks down, we will adjust the original coordinates accordingly.
Original coordinates:
A (2, 2)
B (4, 2)
C (4, 4)
D (3, 5)
E (2, 4)
The house is moved 4 blocks to the left, so we subtract 4 from the x-coordinate of each point:
A: x-coordinate: 2 - 4 = -2
B: x-coordinate: 4 - 4 = 0
C: x-coordinate: 4 - 4 = 0
D: x-coordinate: 3 - 4 = -1
E: x-coordinate: 2 - 4 = -2
The house is moved 2 blocks down, so we subtract 2 from the y-coordinate of each point:
A: y-coordinate: 2 - 2 = 0
B: y-coordinate: 2 - 2 = 0
C: y-coordinate: 4 - 2 = 2
D: y-coordinate: 5 - 2 = 3
E: y-coordinate: 4 - 2 = 2
So, the new coordinates of the house are:
A (-2, 0)
B (0, 0)
C (0, 2)
D (-1, 3)
E (-2, 2)
To represent the new location, we can use a different color on the graph. Let's use the color green to represent the new location of the house on the graph.
Question 2
Plot and state the points of the new location of your house with a different color.
Name the new color you use on your graph here.
explain
Apologies for the confusion. Here's how you can plot the new location of the house and explain it more clearly:
Plot the points of the new location of your house:
A (-2, 0)
B (0, 0)
C (0, 2)
D (-1, 3)
E (-2, 2)
To plot these points, you can use a graph or a coordinate plane. Draw the x-axis and y-axis and label the intervals. Mark the points with their respective coordinates given above.
Now, to differentiate the new location from the original location, let's use the color red to represent the new location of the house on the graph.
In summary, plot the points A, B, C, D, and E at their corresponding coordinates (-2, 0), (0, 0), (0, 2), (-1, 3), and (-2, 2) respectively, using the color red to represent the new location.