Question

plot and label each of the following points.

a(-3,6) b(4,5) c(0,2) d(5,-1) e(-4,-5) f(-2,0)

Explanation:

Step1: Understand the coordinate system

In a Cartesian coordinate system, a point is represented as \((x,y)\). The \(x\) - coordinate (abscissa) tells the horizontal position and the \(y\) - coordinate (ordinate) tells the vertical position.

Step2: Plot point \(A(-3,6)\)

For point \(A(-3,6)\), move \(3\) units to the left along the \(x\) - axis (since \(x=-3\)) and \(6\) units up along the \(y\) - axis (since \(y = 6\)).

Step3: Plot point \(B(4,5)\)

For point \(B(4,5)\), move \(4\) units to the right along the \(x\) - axis (since \(x = 4\)) and \(5\) units up along the \(y\) - axis (since \(y=5\)).

Step4: Plot point \(C(0,2)\)

For point \(C(0,2)\), since \(x = 0\), it lies on the \(y\) - axis. Move \(2\) units up along the \(y\) - axis (since \(y = 2\)).

Step5: Plot point \(D(5,-1)\)

For point \(D(5,-1)\), move \(5\) units to the right along the \(x\) - axis (since \(x = 5\)) and \(1\) unit down along the \(y\) - axis (since \(y=-1\)).

Step6: Plot point \(E(-4,-5)\)

For point \(E(-4,-5)\), move \(4\) units to the left along the \(x\) - axis (since \(x=-4\)) and \(5\) units down along the \(y\) - axis (since \(y =-5\)).

Step7: Plot point \(F(-2,0)\)

For point \(F(-2,0)\), since \(y = 0\), it lies on the \(x\) - axis. Move \(2\) units to the left along the \(x\) - axis (since \(x=-2\)).

Answer:

To plot the points:

• \(A(-3,6)\): Left \(3\), up \(6\)
• \(B(4,5)\): Right \(4\), up \(5\)
• \(C(0,2)\): On \(y\) - axis, up \(2\)
• \(D(5,-1)\): Right \(5\), down \(1\)
• \(E(-4,-5)\): Left \(4\), down \(5\)
• \(F(-2,0)\): Left \(2\), on \(x\) - axis.