health and wellness | May 03, 2026

What are integers and rational numbers How are points graphed on a coordinate plane?

As we said, points on the coordinate plane are represented as (a, b), where a and b are rational numbers. Rational numbers are numbers that can be written as a fraction, p/q, where p and q are integers. We call a the x-coordinate of the point and we call b the y-coordinate of the point.

.

Moreover, what is a rational coordinate?

A rational coordinates is a coordinates in space each of whose coordinates are rational; that is, the coordinates of the point are elements of the field of rational numbers. For example, (2, −78/4) is a rational point in 2-dimensional space, since 2 and −78/4 are rational numbers.

Beside above, how do you find the coordinates of a point? To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

In respect to this, how do you construct a coordinate plane?

To create a coordinate plane, start with a sheet of graph or grid paper. Next, draw a horizontal line. This line is called the x-axis and is used to locate values of x. To show that the axis actually goes on forever in both directions, use small arrowheads at each end of the line.

What is a coordinate plane example?

A coordinate plane consists of two number lines that intersect, one running horizontally, the other running vertically. The horizontal number line on a coordinate plane is known as the x-axis. The vertical number line on a coordinate plane is known as the y-axis.

Related Question Answers

What is integers and example?

An integer (pronounced IN-tuh-jer) is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

What does a coordinate plane look like?

The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin.

What is the origin of a coordinate plane?

The horizontal axis in the coordinate plane is called the x-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis. The intersecting x- and y-axes divide the coordinate plane into four sections.

What are rational and irrational numbers?

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers.

How can you graph a point with rational coordinates on a coordinate plane?

The horizontal number line is called the x-axis, and the vertical number line is called the y-axis. We can graph, or locate, a point, (a, b), where a and b are rational numbers, on the coordinate plane by locating a on the x-axis, and then moving up b units if b is positive or down b units if b is negative.

What is the Y coordinate?

A y-coordinate is the second element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the y-coordinate represents the directed distance of the point from the x-axis. Another name for the y-coordinate is the ordinate.

What are coordinate grids used for?

The numbers on a coordinate grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).

What does the point 0 0 represent?

It mean the origin of the coordinates. A graph on a plane has the y-axis and the x-axis. They meet at a point labeled 0 which is the starting point of all point. This point is the point with coordinate (0, 0) and it is referred to as the origin.

How do you create a coordinate plane in Word?

Click on the word AutoShapes in the Drawing toolbar, move your cursor to Basic Shapes and slide over and down to the first shape on row 3, the oval. To draw a perfect circle, hold down the Shift key as you draw. Draw a small circle. After drawing the circle, use the line color button to fill it with color.