The image provided is a blank Cartesian coordinate grid with labeled axes \( X \) and \( Y \). The grid ranges from \(-10\) to \(10\) on both the \( X \)-axis and \( Y \)-axis. Since there is no specific task or problem described in the image, I will assume the task is to explain how to use this coordinate grid for plotting points and solving basic graphing problems.
Explanation of the Coordinate Grid:
1.
Axes:
- The horizontal axis is labeled as the \( X \)-axis.
- The vertical axis is labeled as the \( Y \)-axis.
- The point where the two axes intersect is called the origin, denoted as \( (0, 0) \).
2.
Quadrants:
- The grid is divided into four quadrants:
-
Quadrant I: \( X > 0 \) and \( Y > 0 \)
-
Quadrant II: \( X < 0 \) and \( Y > 0 \)
-
Quadrant III: \( X < 0 \) and \( Y < 0 \)
-
Quadrant IV: \( X > 0 \) and \( Y < 0 \)
3.
Plotting Points:
- Each point on the grid is represented by an ordered pair \( (x, y) \), where:
- \( x \) is the horizontal coordinate (distance along the \( X \)-axis).
- \( y \) is the vertical coordinate (distance along the \( Y \)-axis).
- To plot a point:
1. Start at the origin \( (0, 0) \).
2. Move horizontally to the right (positive \( x \)) or left (negative \( x \)) by the \( x \)-coordinate value.
3. Move vertically up (positive \( y \)) or down (negative \( y \)) by the \( y \)-coordinate value.
4. Mark the point at the intersection of these movements.
Example Problem:
Suppose the task is to plot the points \( (3, 4) \), \( (-2, 5) \), \( (-4, -3) \), and \( (6, -2) \) on the grid.
#### Step-by-Step Solution:
1.
Point \( (3, 4) \):
- Move 3 units to the right along the \( X \)-axis.
- Move 4 units up along the \( Y \)-axis.
- Mark the point in Quadrant I.
2.
Point \( (-2, 5) \):
- Move 2 units to the left along the \( X \)-axis.
- Move 5 units up along the \( Y \)-axis.
- Mark the point in Quadrant II.
3.
Point \( (-4, -3) \):
- Move 4 units to the left along the \( X \)-axis.
- Move 3 units down along the \( Y \)-axis.
- Mark the point in Quadrant III.
4.
Point \( (6, -2) \):
- Move 6 units to the right along the \( X \)-axis.
- Move 2 units down along the \( Y \)-axis.
- Mark the point in Quadrant IV.
Final Answer:
The points \( (3, 4) \), \( (-2, 5) \), \( (-4, -3) \), and \( (6, -2) \) are plotted on the grid as follows:
- \( (3, 4) \) in Quadrant I.
- \( (-2, 5) \) in Quadrant II.
- \( (-4, -3) \) in Quadrant III.
- \( (6, -2) \) in Quadrant IV.
If you have a different task or need further clarification, please provide additional details!
$$
\boxed{\text{Points plotted as described above.}}
$$
Parent Tip: Review the logic above to help your child master the concept of 4 quadrant.