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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 is a \(y\)-intercept of a graph?

$$\text { Simplify: } \quad 3\left(12 \div 2^{2}-3\right)^{2}$$.

The graph shows that in \(2000,31 \%\) of U.S. adults viewed a college education as essential for success. For the period from 2000 through 2010 , the percentage viewing a college cducation as essential for success increased on average by approximately 2.4 each year. These conditions can be described by the mathematical model $$ S=2.4 n+31 $$ where \(S\) is the percentage of U.S. adults who vicwed college as essential for success \(n\) years after 2000 . a. Let \(n=0,5,10,15,\) and \(20 .\) Make a table of values showing five solutions of the equation. b. Graph the formula in a rectangular coordinate system. Suggestion: Let each tick mark on the horizontal axis, labeled \(n,\) represent 5 units. Extend the horizontal axis to include \(n=25 .\) Let each tick mark on the vertical axis, labeled \(S\), represent 10 units and extend the axis to include \(S=100\)

Graph equation. \(y=-3\)

Graph equation. \(3 y=9\)
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