Chapter 1, Problem 1CRQ

Fill in the blanks.

1. A point in the plane can be represented uniquely by a/an ______ pair of numbers. The first number of the pair is called the _______, and the second number of the pair is called the ______.

To determine

To fill:  The pair of number which represent a point in the plane and name the number of the pair.

Answer to Problem 1CRQ

A point in the plane can be represented uniquely by an ordered pair. The first number is called is abscissa (x-coordinate)and the second number of the pair is called ordinate(y-coordinate).

Explanation of Solution

Let $P(x,y)$ be any point in the plane.

Draw a perpendicular from P to x-axis and to y-axis, then x is the number that correspondence to x-axis at which the perpendicular line through $P$ cross x-axis and y is the number that correspondence to y-axis at which the perpendicular line through $P$  cross x-axis

Pont P can be uniquely represented by an ordered pair $\left(x,y\right)$

The number x is called abscissa or x-coordinate and second number y is called ordinate or y-coordinate.

Hence, a point in the plane can be represented uniquely by an ordered pair. The first number is called is abscissa (x-coordinate)and the second number of the pair is called ordinate(y-coordinate).