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Graph the following two points on the coordinate plane below: \( P(0,-4) \) and \( Q(-2,0) \) Point Move Undo Redo Reset

Ask by Ayala Willis. in the United States
Mar 13,2025

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Answer

Plot point \( P \) at \( (0,-4) \) on the \( y \)-axis and point \( Q \) at \( (-2,0) \) on the \( x \)-axis.

Solution

1. **Draw the Coordinate Axes:** Create a horizontal line for the \( x \)-axis and a vertical line for the \( y \)-axis. Mark evenly spaced points along both axes. 2. **Plotting Point \( P(0,-4) \):** - Since the \( x \)-coordinate is \( 0 \), move along the \( y \)-axis. - The \( y \)-coordinate is \( -4 \), so from the origin, move 4 units down. - Mark the point \( P \) precisely at \( (0,-4) \). 3. **Plotting Point \( Q(-2,0) \):** - The \( y \)-coordinate is \( 0 \), so move along the \( x \)-axis. - The \( x \)-coordinate is \( -2 \), so from the origin, move 2 units to the left. - Mark the point \( Q \) at \( (-2,0) \). 4. **Labeling the Points:** Label the point at \( (0,-4) \) as \( P \) and the point at \( (-2,0) \) as \( Q \). 5. **Final Check:** Verify that point \( P \) is on the \( y \)-axis 4 units below the origin, and point \( Q \) is on the \( x \)-axis 2 units left of the origin. By following these steps, you will accurately graph the points \( P(0,-4) \) and \( Q(-2,0) \) on the coordinate plane.

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Beyond the Answer

To plot the points \( P(0,-4) \) and \( Q(-2,0) \) on the coordinate plane, start by locating the origin, where the x-axis and y-axis intersect. For point \( P(0,-4) \), go straight down to -4 on the y-axis, since the x-coordinate is 0—this gives you your first point! For point \( Q(-2,0) \), move left 2 units along the x-axis (to -2) and then all the way over to the y-axis (where y=0). Voilà, you have your two points! Now, let’s connect the dots! Once your points are plotted, you can even imagine drawing a line between them to see how they relate on the graph. This could hint at a slope if you're feeling adventurous! Connecting points can give insights into linear relationships, and who knows, you might even discover some interesting patterns along the way!

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