Question

plot the point $(-5, 4)$ and identify the quadrant.
click on the graph to plot a point. click a point to delete it.

Explanation:

Step1: Recall quadrant rules

In a coordinate plane, quadrants are determined by the signs of \(x\) and \(y\) coordinates.

• Quadrant I: \(x>0,y>0\)
• Quadrant II: \(x<0,y>0\)
• Quadrant III: \(x<0,y<0\)
• Quadrant IV: \(x>0,y<0\)

Step2: Analyze the point \((-5,4)\)

For the point \((-5,4)\), the \(x\)-coordinate is \(-5\) (which is \(<0\)) and the \(y\)-coordinate is \(4\) (which is \(>0\)).

Step3: Identify the quadrant

Since \(x<0\) and \(y>0\), the point lies in Quadrant II.

Answer:

To plot the point \((-5, 4)\): Start at the origin \((0,0)\), move 5 units to the left (because \(x = - 5\)) and then 4 units up (because \(y=4\)). The point \((-5,4)\) lies in Quadrant II.