# CORE Challenge Site

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## Learning Object Details

### y=mx+b defines a linear function

Standards:
8.F.3

Audience:
Teacher: Beginning , Teacher: Experienced but Beginning Subject , Student: Remedial , Student: Proficient , Student: Advanced , Parent / Family ,

Math Practices:
No Math Practices Found

Resource Type:
Conceptual Lesson

Description:

This activity explains why an equation in the form of y = mx+b defines a linear funtion.

The activity...

• provides equations in the form of y = mx+b and then shows their related graphs to confirm they are linear funtions.  Emphasis is placed on the exponent value of 1 being associated with the x value, thus defining a linear funtion.
• provides equations in the form of y = mx+b without a graph and uses the idea that the exponet value associated with the x value is 1, therefore the equation does define a linear funtion.
• provides examples of equations that are not linear funtions.  Emphasis is placed on the exponent values associated with x are not equal to one, therefore not defining a linear function.

Comments for this learning object :

 This Object Authored By: mshes@gv18

3.6 - 4.00 = Expert
3.2 - 3.59 = Practitioner
2.8 - 3.19 = Apprentice
2.4 - 2.79 = Novice
1.0 - 2.39 = Unsatisfactory