Review of the Coordinate Plane

1. 9 units.

Let's plot the two points.

Now, let's find the distance between the points.

The distance between the points is 9 units.

2.

The coordinates of point \(B\) are \((1, 3)\). Each new point must have an \(y\)-coordinate of \(3\).

First let's plot the point that has an increase of \(6\) in the \(x\)-coordinate.

Now let's plot the point that has a decrease of \(6\) in the \(x\)-coordinate.

The two points that are \(6\) units from point \(B\) and also share the same \(y\)-coordinate as \(B\) are shown in the graph.

3. B. Point \(B\)

First, let's graph point \(M\).

Now, let's see what is \(5\) units from point \(M\).

Point \(M\) is 5 units from point \(B\).

4. 5 units.

First let's plot the two points.

Now, let's find the distance between the points.

The distance from point \(S\) to point \(T\) is 5 units.

5. 5 units.

Let's plot the two points.

Now, let's find the distance between the points.

The distance between the points is 5 units.

6.

The coordinates of point \(A\) are \((5, 6) \). Each new point must have an \(x\)-coordinate of \(5\).

First let's plot the point that has an increase of \(3\) in the \(y\)-coordinate.

Now let's plot the point that has a decrease of \(3\) in the \(y\)-coordinate.

The two points that are \(3\) from point \(A\) and also share the same \(x\)-coordinate as Point \(A\) are shown in the graph.

7. A. Point \(A\).

First, let's graph point \(M\).

Now, let's see what is \(4\) units from point \(M\).

Point \(M\) is 4 units from point \(A\).