 # Every Line is a Graph of a Linear Equation

##### This Every Line is a Graph of a Linear Equation lesson plan also includes:

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation of linear graphs by determining the slope and the y-intercept. Class members then convert the equation into standard form.

CCSS: Designed

##### Instructional Ideas

• Create a matching activity with equations written in slope-intercept form, standard form and their corresponding graphs
• Lead a discussion on how to come up with equations
##### Classroom Considerations

• Opening proof is optional
• The lesson does not really match the standard because the standard is about proportional relationships; a better match may be 8.F.B.4
##### Pros

• The answer key shows the steps used to transform the equations from slope-intercept to standard form
• Highlights the mathematical practice location in the lesson plan
##### Cons

• The key to exercise three has a line after the solution that is not needed