Question

plot the point $(1,8)$ and identify the quadrant. click on the graph to plot a point. click a point to delete it.

Explanation:

Step1: Understand the coordinate system

In a Cartesian coordinate system, the first number in an ordered pair \((x,y)\) is the \(x\) - coordinate (horizontal) and the second is the \(y\) - coordinate (vertical). For the point \((1,8)\), \(x = 1\) and \(y=8\).

Step2: Determine the quadrant

• 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 \(y < 0\)

Since \(x = 1>0\) and \(y = 8>0\), the point \((1,8)\) lies in Quadrant I.

Answer:

The point \((1,8)\) lies in Quadrant I.