<meta http-equiv="refresh" content="1; url=/nojavascript/"> Linear Equations in Standard Form | CK-12 Foundation
Dismiss
Skip Navigation
You are reading an older version of this FlexBook® textbook: Algebra I Teacher's Edition Go to the latest version.

5.3: Linear Equations in Standard Form

Created by: CK-12

Learning Objectives

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

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

Vocabulary

Terms introduced in this lesson:

standard form
slope
intercepts

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 y-intercept as it did in an equation in slope-intercept form.

In Example 3c, the x-intercept is a fraction, x = \frac{3} {2}. 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 y-intercept)?

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

Image Attributions

You can only attach files to None which belong to you
If you would like to associate files with this None, please make a copy first.

Reviews

Please wait...
You need to be signed in to perform this action. Please sign-in and try again.
Please wait...
Image Detail
Sizes: Medium | Original
 
CK.MAT.ENG.TE.1.Algebra-I.5.3

Original text