Review of the Coordinate Plane

This lecture series reviews the basic concepts related to graphing points on the Cartesian coordinate plane and associated terminology.

Points on the coordinate plane - Questions

Answers

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.

Point Ordered Pair
A ( 0.5, 4
B ( -3, 0
C ( -1, 1


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.

Point Ordered Pair
A ( -2, 4
B ( 0, -3
C ( 4, -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.