## Slope-Intercept Form of a Linear Equation

### Johnny WolfeSanta Rosa District Schools

#### Description

This lesson discusses slope-intercept and standard forms of linear equations.

#### Objectives

The student selects the appropriate operation to solve problems involving addition, subtraction, multiplication, and division of rational numbers, ratios, proportions, and percents, including the appropriate application of the algebraic order of operations.

Understands and explains the effects of addition, subtraction, multiplication and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

The student describes a wide variety of patterns, relationships, and functions through models, such as manipulatives, tables, graphs, expressions, equations, and inequalities.

#### Materials

- Overhead transparencies (if examples are to be worked on overhead) for Slope-Intercept Form of a Linear Equation (see attached file).

- Slope-Intercept Form of a Linear Equation Examples (see attached file).

- Slope-Intercept Form of a Linear Equation Worksheet (see attached file).

- Slope-Intercept Form of a Linear Equation Checklist (see attached file).

#### Preparations

1. Prepare transparencies (if teacher uses overhead for examples) for Slope-Intercept Form of a Linear Equation Examples (see attached file).

2. Have marking pens (for overhead).

3. Have Slope-Intercept Form of a Linear Equation Examples (see attached file) prepared and ready to demonstrate to students.

4. Have enough copies of Slope-Intercept Form of a Linear Equation Worksheet (see attached file) for each student.

5. Have enough copies of Slope-Intercept Form of a Linear Equation Checklist (see attached file) for each student.

#### Procedures

Prior Knowledge: Students should be familiar with the standard form of linear equations along with basic operation skills such as addition, subtraction, multiplication, division, exponents, fractions, decimals and solving equations. Note: This lesson does not address the following: square roots, exponents, and appropriate inverse relationships; ratios, proportions or percents; tables, graphs and inequalities. This lesson contains a checklist to assist the teacher in determining which students need remediation. The sole purpose of this checklist is to aide the teacher in identifying students that need remediation.

1. Help students develop the slope-intercept form of a linear equation (see # 1 on attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

2. State the slope-intercept form of a linear equation. Be sure that students understand each component (see # 2 on attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

3. Describe the purpose of the slope-intercept form of a linear equation (see # 3 on attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

4. Work example 4 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

5. Work example 5 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

6. Work example 6 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

7. Work example 7 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

8. Work example 8 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

9. Work example 9 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

10. Demonstrate to students how to rewrite an equation from standard form to slope-intercept form. Analyze the components and discuss the slope ratio and y-intercept ratio (see # 10 on attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

11. Work example 11 (see attached file Slope-Intercept Form of a Linear Equation Examples). Answer student questions and comments.

12. Distribute the Slope-Intercept Form of a Linear Equation Worksheet (see attached file).

13. Distribute the Slope-Intercept Form of a Linear Equation Checklist (see attached file). Describe what constitutes an “A,” “B,” “C,” “D,” and an “F” in the CHECKLIST.

14. The student will write their response on the worksheet.

15. The teacher will move from student to student observing the students work and lending assistance.

#### Assessments

Student worksheets will be taken up and scored according to “Slope-Intercept Form of a Linear Equation Checklist”. These scores may be placed in the grade book.

#### Extensions

Using a map with coordinates, have the students write the equation of a line in y-intercept form and standard form that passes through two cities.