Question

4 a. plot and label 3 different points with x - coordinate 3. b. plot and label 3 different points with y - coordinate - 5.

Explanation:

Step1: Understand the coordinates

For points with \(x -\)coordinate \(3\), the \(x -\)value is fixed as \(3\), and \(y\) can be any value. For points with \(y -\)coordinate \(- 5\), the \(y -\)value is fixed as \(-5\), and \(x\) can be any value.

Step2: Select values for the other coordinate

For part a:
Let \(y = 1\), then the point is \((3,1)\); let \(y=-2\), then the point is \((3, - 2)\); let \(y = 4\), then the point is \((3,4)\)
For part b:
Let \(x=-2\), then the point is \((-2,-5)\); let \(x = 1\), then the point is \((1,-5)\); let \(x=4\), then the point is \((4,-5)\)

Step3: Plot the points

On the coordinate plane:

• For part a: Locate \(x = 3\) on the \(x -\)axis. Then for \(y = 1\), move \(1\) unit up from \(x = 3\) to plot \((3,1)\); for \(y=-2\), move \(2\) units down from \(x = 3\) to plot \((3,-2)\); for \(y = 4\), move \(4\) units up from \(x = 3\) to plot \((3,4)\)
• For part b: Locate \(y=-5\) on the \(y -\)axis. Then for \(x=-2\), move \(2\) units to the left from \(y =-5\) to plot \((-2,-5)\); for \(x = 1\), move \(1\) unit to the right from \(y=-5\) to plot \((1,-5)\); for \(x = 4\), move \(4\) units to the right from \(y=-5\) to plot \((4,-5)\)

Answer:

• a. Points \((3,1)\), \((3,-2)\), \((3,4)\) (answers may vary for \(y -\)values)
• b. Points \((-2,-5)\), \((1,-5)\), \((4,-5)\) (answers may vary for \(x -\)values)