1. Graphing on a Coordinate Plane
Mr. Caraba

2. Objectives I will learn to:
Find coordinates and Quadrants of points on the Coordinate Plane
Graph points on a coordinate plane.
Find horizontal and vertical distances on the coordinate plane.

3. Vocabulary
Coordinate Plane is formed by two number lines, the x-axis and the y-axis.

4. Vocabulary
The two axis intersect at right angles and divide the plane into 4 quadrants.

5. Vocabulary
The intersection of the two axis is called ORIGIN. The coordinates of origin is (0,0)
The location of a point (coordinates) on the coordinate plane is given as an ordered pair.
In an ordered pair (x, y) the first number always represents the x value while the second number represents the y value.

6. Graphing Points on the Coordinate Plane
Graph each point.
A. T(–4, 4)
Start at the origin.
T(–4, 4) •
Move 4 units left and 4 units up.
B. U(0, –5)
Start at the origin.
Move 5 units down.
C. V (–2, –3) •
V(–2, −3)
Start at the origin. •
U(0, –5)
Move 2 units left and 3 units down.

7. Finding Horizontal and Vertical Distances
Whenever the segments are horizontal or vertical, the length can be obtained by counting.
When we need to find the length (distance) of a segment such as AB, we simply COUNT the distance from point A to point B. (AB = ___)
We can use this same counting approach for CD . (CD = ___) 7 3

8. Finding Horizontal and Vertical Distances
You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.
Distance between
Point A (-4, 2) and
Point B (3, 2) can be also found by subtracting the x coordinates.
-4 – 3 = -7
Absolute value of -7 is 7 therefore the distance is 7

9. Finding Horizontal and Vertical Distances
You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.
Distance between
Point C (-4, -1) and
Point D (-4, -4) can be also found by subtracting the x coordinates.
-1 – (-4) = 3
Distance between points C and D is 3

10. Finding Horizontal and Vertical Distances
You can also find the HORIZONTAL or VERTICAL distance by subtracting the values within the ordered pairs.
Warning: The distance between point E and F (diagonal segment) CANNOT be found using the same principle.

11. Identifying the Quadrant of an ordered pair.
Identify in which quadrant each point is located. II
𝐴 (−3, 4)
III
𝐵 (−3, −2) IV
𝐶 (2, −5)
𝐷 (−1, 1) II
𝐷 (0, 8)
Between I and II
On y-axis