IDENTIFYING QUADRANT OF THE COORDINATE POINT LIES

By table,

By graph,

Example 1 :

Describe the location of the point.

Solution :

By observing the above graph,

(i)  J(2, 3) is located at Quadrant I.

(ii)   K(-5, -1) is located at Quadrant III.

(iii)  L(0, -3) is located at y-coordinate.

(iv)  M(4, -4) is located at Quadrant IV.

Example 2 :

What is the x-coordinate of the point (-12, 7)? What is the y-coordinate?

Solution :

The x-coordinate of the point is -12. 

The y-coordinate of the point is 7.

Example 3 :

A point has one positive coordinate and one negative coordinate. Can you determine in which quadrant the point lies? Explain.

Solution :

If the point has one positive coordinate and one negative coordinate that is located at Quadrant IV.

Example 4 :

Give the coordinates of the point.

Solution :

By observing the above graph,

The coordinates of Point A are (-4, 2).

The coordinates of Point B are (0, 3).

The coordinates of Point C are (0, 0).

The coordinates of Point D are (4, 0).

The coordinates of Point E are (-2, -4).

The coordinates of Point F are (3, 3).

The coordinates of Point G are (4, 4).

The coordinates of Point H are (-3, -2).

Example 5 :

Use the variable expression 2x + 1.

a)  Evaluate the expression when x = -3, -2, -1, 0, 1, 2, and 3

b)  Use your results from part (a) to write a list of ordered pairs in the form (x, 2x + 1).

Solution :

a)

Given, expression 2x + 1

b)

write a list of ordered pairs in the form (x, 2x + 1)

From (a),