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, a point \((x, y)\) is plotted by moving \(x\) units along the x - axis (horizontal) and \(y\) units along the y - axis (vertical). For the point \((1,-8)\), the \(x\) - coordinate is \(1\) (positive, so we move 1 unit to the right of the origin along the x - axis) and the \(y\) - coordinate is \(- 8\) (negative, so we move 8 units down from the origin along the y - axis).

Step2: Plot the point

• Start at the origin \((0,0)\).
• Move 1 unit to the right along the x - axis (since \(x = 1>0\)).
• Then move 8 units down along the y - axis (since \(y=-8 < 0\)). Mark this point.

Step3: Identify the quadrant

The four quadrants are defined as follows:

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

For the point \((1,-8)\), \(x = 1>0\) and \(y=-8 < 0\), so it lies in Quadrant IV.

Answer:

To plot the point \((1,-8)\): Move 1 unit right on the x - axis and 8 units down on the y - axis. The point \((1,-8)\) is in Quadrant IV.