Problem 1 In the ordered pair $(4,9),$ t... [FREE SOLUTION]

Chapter 4: Problem 1

In the ordered pair $(4,9),$ the $x$ -coordinate is ______ $

Short Answer

Expert verified

The x-coordinate is 4.

Step by step solution

Understand ordered pairs

We need to understand that an ordered pair is expressed as (x, y), where 'x' represents the x-coordinate (distance along the horizontal axis) and 'y' represents the y-coordinate (distance along the vertical axis).

Identify the x-coordinate

In our given ordered pair (4,9), the x-coordinate is the first number, which is 4.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

x-coordinate

The x-coordinate in an ordered pair is the first value listed. It tells you how far to move horizontally across the coordinate plane from the origin, which is the point (0,0).

Think of the x-coordinate as the number of steps you take sideways, left or right.
In the ordered pair (4, 9), the x-coordinate is 4.
This means starting from the origin, you move 4 steps to the right.

Moving horizontally is a key idea in working with coordinates. Always remember: first comes x, then comes y. This is why it's essential to check the order to avoid any mix-ups.
Understanding this helps you place points accurately on a graph every time.

y-coordinate

The y-coordinate in an ordered pair is the second value. This tells you how far to move vertically from the x-coordinate you have already defined.

Imagine the y-coordinate as steps you move up or down from the position on the x-axis.
In the ordered pair (4, 9), the y-coordinate is 9.
From the x-position (4 on the x-axis), you move 9 steps upwards.

This vertical direction is crucial for pinpointing exact locations on a coordinate plane.
Unlike the x-coordinate, which moves sideways, the y-coordinate allows you to navigate upwards and downward. This dual movement creates a grid that lets you chart any point accurately.

coordinate plane

A coordinate plane, also known as a Cartesian plane, is like a map where you can locate points using ordered pairs.

The plane consists of two perpendicular lines: the x-axis (horizontal) and the y-axis (vertical).
Where they intersect is called the origin, labeled as (0,0).
The plane is divided into four sections called quadrants, helping you to categorize and find points easily.

Each point on the plane is determined by a pair of numbers: the x-coordinate and the y-coordinate.
This sometimes intimidating grid becomes simple when you realize it's just a system to help us say exactly where something is. Learning how to navigate it, using ordered pairs, opens up a world of problem-solving abilities in math and beyond.

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91影视

In the ordered pair \((4,9),\) the \(x\) -coordinate is ______ $

Short Answer

Step by step solution

Understand ordered pairs

Identify the x-coordinate

Key Concepts

x-coordinate

y-coordinate

coordinate plane

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