graphing on a coordinate plane mr. caraba. objectives i will learn to: 1. find coordinates and...

GRAPHING ON A COORDINATE PLANEMr. Caraba

Objectives

I will learn to:

1. Find coordinates and Quadrants of points on the Coordinate Plane

2. Graph points on a coordinate plane.

3. Find horizontal and vertical distances on the coordinate plane.

Vocabulary

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

Vocabulary

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

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.

Graphing Points on the Coordinate PlaneGraph each point.

A. T(–4, 4)

Start at the origin.Move 4 units left and 4 units up.

B. U(0, –5)

Start at the origin.Move 5 units down.

•T(–4, 4)

•U(0, –5)

C. V (–2, –3)

Start at the origin.Move 2 units left and 3 units down.

•V(–2, −3)

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

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

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

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.

Identifying the Quadrant of an ordered pair.

𝐴(−3 ,4)

Identify in which quadrant each point is located.

𝐵(−3 ,−2)𝐶 (2,−5)𝐷(−1 ,1)

𝐷(0 ,8)

II

IIIIV

IIBetween I and

IIOn y-axis