Plot the ordered pair in the coordina Name the quadrant for the point. 11. \( K(-3,5) \) 12. \( L(-3,0) \) 13. \( M(2,5) \) 14. \( N(4,-2) \)

Sure! Let's plot each ordered pair on the coordinate plane and identify the quadrant in which each point lies. ### Understanding the Coordinate Plane The coordinate plane is divided into four quadrants: - **Quadrant I**: Both _x_ and _y_ are positive (`x > 0`, `y > 0`) - **Quadrant II**: _x_ is negative and _y_ is positive (`x < 0`, `y > 0`) - **Quadrant III**: Both _x_ and _y_ are negative (`x < 0`, `y < 0`) - **Quadrant IV**: _x_ is positive and _y_ is negative (`x > 0`, `y < 0`) Points that lie on the axes (where either _x_ = 0 or _y_ = 0) are **not** located in any quadrant. ### Plotting the Points Let's examine each point: --- #### 11. Point K(-3, 5) - **Coordinates**: _x_ = -3, _y_ = 5 - **Location**: - Move **3 units to the left** of the origin along the x-axis (since _x_ is negative). - Move **5 units up** along the y-axis (since _y_ is positive). - **Quadrant**: **Quadrant II** **Visualization:** ``` y | | K(-3,5) | -------|------- | | | ``` --- #### 12. Point L(-3, 0) - **Coordinates**: _x_ = -3, _y_ = 0 - **Location**: - Move **3 units to the left** of the origin along the x-axis. - Since _y_ = 0, the point lies **exactly on the x-axis**. - **Quadrant**: **None** (lies on the **x-axis**) **Visualization:** ``` y | | -------|------- L(-3,0) | | ``` --- #### 13. Point M(2, 5) - **Coordinates**: _x_ = 2, _y_ = 5 - **Location**: - Move **2 units to the right** of the origin along the x-axis. - Move **5 units up** along the y-axis. - **Quadrant**: **Quadrant I** **Visualization:** ``` y | | M(2,5) | -------|------- | | | ``` --- #### 14. Point N(4, -2) - **Coordinates**: _x_ = 4, _y_ = -2 - **Location**: - Move **4 units to the right** of the origin along the x-axis. - Move **2 units down** along the y-axis (since _y_ is negative). - **Quadrant**: **Quadrant IV** **Visualization:** ``` y | | -------|------- | N(4,-2) | | ``` --- ### Summary of Quadrants 1. **Point K(-3, 5)**: **Quadrant II** 2. **Point L(-3, 0)**: **On the x-axis** (No quadrant) 3. **Point M(2, 5)**: **Quadrant I** 4. **Point N(4, -2)**: **Quadrant IV** Feel free to plot these points on graph paper or using a graphing tool to visualize their positions better!