Problem 3 Plot each point on a coordinate ... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 11: Problem 3

Plot each point on a coordinate grid. $(1,5)$

Short Answer

Expert verified

Move 1 unit right and 5 units up from the origin.

Step by step solution

Set up the Coordinate Grid

Draw a horizontal line (x-axis) and a vertical line (y-axis) that intersect at the origin (0,0).

Locate the x-coordinate

Identify the x-coordinate of the point $1,5$; in this case, it's 1. From the origin, move 1 unit to the right along the x-axis.

Locate the y-coordinate

Identify the y-coordinate of the point $1,5$; here, it's 5. From the x-coordinate (1), move 5 units upward along the y-axis.

Plot the Point

Mark the point where the x-coordinate 1 and the y-coordinate 5 meet on the grid. This is the point $1, 5$.

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Key Concepts

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

Introduction to the x-axis

The x-axis is a crucial part of the coordinate grid, acting as the horizontal reference line. When you plot points, the x-axis helps you determine the horizontal position of each point.
Imagine it as a number line laid flat, extending infinitely in both directions from the origin.
Positive numbers move to the right, while negative numbers move to the left. For example, in the point $1,5$, the x-coordinate is 1, so you move 1 unit to the right from the origin.

Understanding the y-axis

The y-axis is the vertical line on the coordinate grid, intersecting the x-axis at the origin (0,0). This line helps you determine the vertical position of points.
Think of it like a vertical number line extending infinitely upward and downward.
Positive values move upward, whereas negative values move downward. In the point $1,5$, the y-coordinate is 5, so once you hit x=1, you then move 5 units up along the y-axis to locate the point.

Locating the origin

The origin is the point where the x-axis and y-axis intersect, and it is denoted by (0,0). It serves as the starting point for locating any other point on the grid.
From the origin, you can move to different coordinates by following the x and y values.
For instance, to plot the point $1,5$, start at (0,0). First, move 1 unit right along the x-axis, then from there, move 5 units up on the y-axis. The origin is your essential reference point for navigating the coordinate grid.

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91影视

Plot each point on a coordinate grid. \((1,5)\)

Short Answer

Step by step solution

Set up the Coordinate Grid

Locate the x-coordinate

Locate the y-coordinate

Plot the Point

Key Concepts

Introduction to the x-axis

Understanding the y-axis

Locating the origin

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