Quadrants on the coordinate plane - Questions

Answers

1. F. \(y\)-axis

To graph \((0, -4)\), we move right 0 from the origin, then down 4 from there.

Now, let's look at the quadrants and axes.

\((0, -4) \) is located on the \(y\)-axis.


2.

Let's plot each point on the coordinate plane.

Now, let's label the axes and quadrants:

Ordered Pair Location
\( (-9, -8)\) Quadrant III
\( (1, 0)\) \(x\)-axis
\( (7.5, 2)\) Quadrant I


3. B. Second quadrant, D. Fourth quadrant

Let's look at the signs of \(x\)- and \(y\)-coordinates in each quadrant.

The coordinates in quadrants II and IV have opposite signs.

Neither coordinate is \(0\), so point \(E\) cannot be located on an axis.

Point \(E\) could be located in Quadrant II or Quadrant IV.


4. B. Second quadrant

To graph \((-2.5, 2)\), we move left 2.5 from the origin, then up 2 from there.

Now, let's look at the quadrants and axes.

\( (-2.5, 2) \) is located in the second quadrant.


5.

Let's plot each point on the coordinate plane.

Now, let's label the axes and quadrants:

Ordered Pair Location
\( (-3, 9)\) Quadrant II
\( (6, -6)\) Quadrant IV
\( (0, -1 \frac {1}{2})\) \(y\)-axis


6. A. First quadrant, C. Third Quadrant

Let's look at the signs of \(x\)- and \(y\)- coordinates in each quadrant.

The coordinates in quadrants I and III have the same signs.

Neither coordinate is \(0\), so point \(P\) cannot be located on an axis.

Point \(P\) could be located in Quadrant I or Quadrant III.


7. E. \(x\)-axis

To graph \((6, 0)\), we move right 6 from the origin, then up 0 from there.

Now, let's look at the quadrants and axes.

\((6, 0)\) is located on the \(x\)-axis.