<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Skip Navigation

5.3: Linear Equations in Standard Form

Difficulty Level: At Grade Created by: CK-12
Turn In

Learning Objectives

At the end of this lesson, students will be able to:

  • Write equivalent equations in standard form.
  • Find the slope and yintercept from an equation in standard form.
  • Write equations in standard form from a graph.
  • Solve real-world problems using linear models in standard form.


Terms introduced in this lesson:

standard form

Teaching Strategies and Tips

An equation in standard form:

  • Can be used to express the equation of a vertical line. This is not possible in slope-intercept or point-slope forms.
  • Makes finding intercepts easy. Remind students of the cover-up method introduced in lesson Graphing Using Intercepts, chapter Graphs of Equations and Functions.

Use Example 3 to find the equations of the lines in standard form using the intercepts and without resorting to slope. The steps are essentially the steps used in the cover-up method only in reverse.

Have students derive the equations that describe the situations in Examples 4 and 5.

Error Troubleshooting

General Tip: Point out that the b in ax+by=c does not represent the yintercept as it did in an equation in slope-intercept form.

In Example 3c, the xintercept is a fraction, x=32. After eliminating the denominator, 2x=3, proceed with the method as usual using the 3 instead; i.e. What number times 3 equals some other number times 4 (the yintercept)?

General Tip: Encourage students to include units when labeling their variables.

Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Show More

Image Attributions

Show Hide Details
Save or share your relevant files like activites, homework and worksheet.
To add resources, you must be the owner of the section. Click Customize to make your own copy.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original