GKT101: General Knowledge for Teachers – Math

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:

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:

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.