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Chapter 3: Problem 101

What is the graph of an equation?

Short Answer

Expert verified
The graph of an equation is a pictorial representation of the solutions to that equation in a coordinate system. The form of the graph can vary, such as a straight line for linear equations, or a parabola for quadratic equations, depending on the type of the equation.

Step by step solution

01

Defining the 'Graph of an Equation'

A Graph of an equation is a visual or graphical representation of the solutions of that equation. It represents all the solutions in a coordinate system.
02

Understanding Different Types of Graphs

Different types of equations result in different types of graphs. For instance, a linear equation results in a straight line graph, while a quadratic equation results in a parabola, and so on.
03

Plotting the Graph

To plot the graph of an equation, one starts by setting up a coordinate system, then identifies the solutions of the equation, and finally plots these solutions on the coordinate system.

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Most popular questions from this chapter

What does a solid line mean in the graph of an inequality?

Write each sentence as a linear inequality in two variables. Then graph the inequality. The difference between the \(x\) -variable and the \(y\) -variable is at least 3

How do you determine whether an ordered pair is a solution of an equation in two variables, \(x\) and \(y ?\)

write each sentence as a linear equation in two variables. Then graph the equation. The \(y\) -variable exceeds the \(x\) -variable by 4

Explain how to find ordered pairs that are solutions of an equation in two variables, \(x\) and \(y\)
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