Question

quiz#2
graph this two points.
① $(3,0)$ and $(0,4)$
② $(2,0)$ and $(0,5)$
③ $(-2,0)$ and $(0,4)$
④ $(-3,0)$ and $(0,-4)$

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 (right if \(x>0\), left if \(x < 0\)) and \(y\) units along the \(y -\)axis (up if \(y>0\), down if \(y < 0\)).

Step2: Plot the points for each pair

• For pair \((3,0)\) and \((0,4)\):
• For the point \((3,0)\), move \(3\) units to the right along the \(x -\)axis (since \(x = 3\) and \(y=0\)).
• For the point \((0,4)\), move \(4\) units up along the \(y -\)axis (since \(x = 0\) and \(y = 4\)).
• For pair \((2,0)\) and \((0,5)\):
• For the point \((2,0)\), move \(2\) units to the right along the \(x -\)axis.
• For the point \((0,5)\), move \(5\) units up along the \(y -\)axis.
• For pair \((- 2,0)\) and \((0,4)\):
• For the point \((-2,0)\), move \(2\) units to the left along the \(x -\)axis.
• For the point \((0,4)\), move \(4\) units up along the \(y -\)axis.
• For pair \((-3,0)\) and \((0,-4)\):
• For the point \((-3,0)\), move \(3\) units to the left along the \(x -\)axis.
• For the point \((0,-4)\), move \(4\) units down along the \(y -\)axis.

Answer:

To graph each pair of points:

• For \((3,0)\) and \((0,4)\): Place a dot at \(x = 3,y = 0\) (on the \(x -\)axis) and \(x=0,y = 4\) (on the \(y -\)axis).
• For \((2,0)\) and \((0,5)\): Place a dot at \(x = 2,y = 0\) (on the \(x -\)axis) and \(x=0,y = 5\) (on the \(y -\)axis).
• For \((-2,0)\) and \((0,4)\): Place a dot at \(x=-2,y = 0\) (on the \(x -\)axis) and \(x=0,y = 4\) (on the \(y -\)axis).
• For \((-3,0)\) and \((0,-4)\): Place a dot at \(x=-3,y = 0\) (on the \(x -\)axis) and \(x=0,y=-4\) (on the \(y -\)axis).