Review of the Coordinate Plane

1. A. Point A and D. Point D.

The \(y\)-coordinate is on the vertical axis.

Values above \(0\) on the number line are greater than \(0\).

The red line shows where \(y=0\). Points above the line have a \(y\)-coordinate that is greater than \(0\).

The points where the \(y\)-coordinate is greater than \(0\) are point \(A\) and point \(B\).

2.

To get to point \(A\) from origin \( (0, 0)\), we move right to \(0.5\) and up to \(4\).

To get to point \(B\) from origin \( (0, 0)\), we move left to \(-3\) and down to \(0\).

To get to point \(C\) from origin \( (0, 0)\), we move left to \(-1\) and up to \(0\).

3.

To graph \( \left(7 \frac{1}{2},-2\right) \), we move right \(7 \frac{1}{2}\) from the origin \((0, 0)\), then down \(2\) from there.

To graph \((-3, 7)\), we move left \(3\) from the origin& \((0, 0)\), then up \(7\) from there.

To graph \((2, 0 )\), we move right \(2\) from origin  \((0, 0)\), then up \(0\) from there.

\( \left(7 \frac{1}{2},-2\right),(-3,7)\) and \((2,0)\) are graphed below.

4. D. \( (-6, 5 )\)

Let's label the graphed points.

\( (6,−5) \) was not graphed.

5. A. \( (6, 5 ) \), C. \( (5, -6 ) \), and D. \( (6, -5 ) \)

The \(y\)-coordinate is on the vertical axis.

Values above \(-3\) on the number line are greater than \(-3\).

The red line shows where \(y = 3\). Points above the line have a \(y\)-coordinate that is greater than \(-3\).

The points where the \(y\)-coordinate is greater than \(-3\) are point \(A\), point \(C\), and point \(D\).

6.

To get to point \(A\) from origin \( (0, 0)\), we move left to \( -2\) and up to \(4\).

To get to point \(B\) from origin \( (0, 0)\), we move right \( 0\) and down to \(-3\).

To get to point \(C\) from origin \( (0, 0)\), we move right to \( 4\) and down to \(-4\).

7. To graph \( (0, 8 \frac {1}{2}\), we move right 0 from the origin \( (0, 0)\) then up \( 8 \frac{1}{2}\) from there.

To graph \( ( -4, -9)\), we move left 4 from the origin \( (0, 0)\), then down 9 from there.

To graph \( (-6, 5)\), we move left 6 from the origin \( (0, 0)\), then up 5 from there.

\(\left(0,8 \frac{1}{2}\right),(-4,-9)\), and \((-6,5)\) are graphed below.