Question

In the following ordered pairs, identify the quadrants in which they lie?
(9,2), (-15,24), (0,14), (13,0) ,(-9,-7) ,(4,-5)

Answer 1

first pair lies in first quadrant

second pair lies in second quadrant

third pair lies on y axis

fourth pair lies on x axis

fifth pair lies in third quadrant

sixth pair lies in fourth quadrant


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Answer 2

Answer:

(9,2) - first quadrant

(-15,24) - second quadrant

(0,14) -  On the Y- axis

(13,0) - On the X axis

(-9,-7) - Third quadrant

(4,-5) - Fourth quadrant

Step-by-step explanation:

Given ordered pairs are (9,2), (-15,24), (0,14), (13,0) ,(-9,-7) ,(4,-5)

Required to find,

The quadrants in which the given points lie.

Solution:

Recall the concepts:

In the cartesian plane, there are two axes- they are horizonal axis known as X-axis and vertical axis called Y axis.

Two axes intersect at the point (0,0) dividing the cartesian plane is divided into 4 regions called quadrants.

Each point in the cartesian can be expressed as ordered pairs of the form(x,y).

In the first quadrant, both x and y coordinates are positive

In the second quadrant, x coordinate is negative and y coordinate is positive.

In the third quadrant, both x and y coordinates are negative.

In the fourth quadrant, x coordinate is positive and y coordinate is negative.

The point (9,2) lies in the first quadrant because, both the coordinates are positive.

The point (-15,24) lies in the second quadrant because, x coordinate is positive and y coordinate is positive.

The point (0,14) lies on the y axis, since all the points lies on the y axis, x coordinate is zero.

The point (13,0) lies on the x axis, since all the point lies on the x axis, the y- coordinate is zero.

The point (-9,-7) lies in the third quadrant, because both the coordinates are negative.

The point (4,-5) lies in the fourth quadrant, because x coordinate is positive and y coordinate is negative.

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