Chapter 4 Linear Functions
Chapter 4 Using Technology
Using Desmos to graph a linear function or system
In Section 4.2, you learned how to graph linear functions. These can also be graphed using Desmos.
Example from Section 4.2
Graphing by Using the y-intercept and Slope
Graph[latex]\,f\left(x\right)=-\frac{2}{3}x+5.[/latex]
Show Solution
To graph the line in Figure 12 in Desmos:
- Type the equation into the equation 1 box, pictured in blue, always using y= instead of f(x)=.
- Use the [latex]\fbox{ / }[/latex] to type a fraction and right arrow [latex]\fbox{ → }[/latex] to exit the denominator before typing the x.
The Desmos graph matches the graph in Figure 12.
You can explore more transformations of lines using this Desmos graphing lines tool.
Return to Section 4.2
Example from Section 4.4
Solving a System of Equations in Two Variables by Graphing
Solve the following system of equations by graphing. Identify the type of system.
[latex]\begin{array}{c}2x+y=-8\\ \,\,\,x-y=-1\end{array}[/latex]
Show Solution
Simply type the first equation into equation 1 and the second into equation 2. Desmos will show the point of intersection as a gray point that can be clicked on to see the ordered pair.
The Desmos graph matches the graph from Figure 4.
The solution to the system is the ordered pair[latex]\,\left(-3,-2\right),[/latex] so the system is independent.
Return to Section 4.4
Media Attributions
- blank gc screen © Karen Perilloux is licensed under a CC BY-SA (Attribution ShareAlike) license
- Desmos linear function © Karen Perilloux is licensed under a CC BY-SA (Attribution ShareAlike) license
- 4.2 Figure 12 © OpenStax Algebra and Trignometry is licensed under a CC BY (Attribution) license
- Desmos system © Karen Perilloux is licensed under a CC BY-SA (Attribution ShareAlike) license
- 4.4 Figure 4 © OpenStax Algebra and Trigonometry is licensed under a CC BY (Attribution) license
