Answer:
To plot the points (-1, 1), (1, -1.5), and (2, 1/4) accurately starting from the origin, follow these steps:
Understand the Coordinate System:
The origin (0,0) is the center of the coordinate plane.
The x-axis is horizontal, with positive values to the right of the origin and negative values to the left.
The y-axis is vertical, with positive values above the origin and negative values below.
Plotting (-1, 1):
Start from the origin.
Move 1 unit to the left along the x-axis (since x = -1).
Then move 1 unit up along the y-axis (since y = 1).
Mark this point. This is (-1, 1).
Plotting (1, -1.5):
Start from the origin again.
Move 1 unit to the right along the x-axis (since x = 1).
Then move 1.5 units down along the y-axis (since y = -1.5).
Mark this point. This is (1, -1.5).
Plotting (2, 1/4):
Start from the origin.
Move 2 units to the right along the x-axis (since x = 2).
Then move 1/4 units up along the y-axis (since y = 1/4).
Mark this point. This is (2, 1/4).
Label the Points:
After plotting all three points, label them accordingly to identify them.
Draw the Coordinate Axes:
Draw the x-axis and y-axis, extending them to accommodate the plotted points.
Check Accuracy:
Make sure the points are plotted correctly by verifying their positions relative to the axes and each other.
Optional: Connect the Points:
If necessary, you can connect the plotted points to visualize any patterns or relationships between them.
By following these steps, you should be able to accurately plot the points (-1, 1), (1, -1.5), and (2, 1/4) starting from the origin.
Step-by-step explanation:
