This lesson plan teaches students how to rewrite linear equations between the forms Ax + By = C and f(x) = mx + b. It defines linear functions as having the form f(x) = mx + b. Examples are provided to demonstrate rewriting equations between the two forms by manipulating the variables. Students are given practice problems and the lesson concludes by defining the standard and slope-intercept forms of linear equations.

1. BRIEF LESSON PLAN IN MATHEMATICS IV
(Rewriting Ax + By = C in the Form f(x) = mx + b, and Vice Versa)
I. OBJECTIVES:
At the end of the discussion, the students are expected to:
1. Define what is a linear function;
2. Identify the different steps in rewriting the Ax + By = C into f(x) = mx + b
and vice versa; and
3. Rewrite Ax + By = C in the form f(x) = mx + b, and vice versa.
II. SUBJECT MATTER:
Topic: LINEAR FUNCTION
Sub – topic: Rewriting Ax + By = C in the Form f(x) = mx + b, and Vice Versa
References: Advanced Algebra, Trigonometry and Statistics, Dilao, et. al pages 31-32
Materials: Visual Aids
Strategies: Exposition and discussion
III. PROCEDURES:
A. Preliminary Activities
 Opening Prayer
 Checking of attendance of the students.
B. Checking of the Assignments
C. Presentation of the Lesson
A linear function is a function of the form f(x) = mx + b, where m and b
are real numbers, and m≠0. Its graph is a continuous slanting line with slope m
and y-intercept b.
Another way of describing a function is by using equations. The linear
function can be described by a polynomial of degree 1. The equation of the form
Ax + By = C can be rewritten in the form f(x) = mx + b, and vice versa, if we let
f(x) = y.
Illustrative Examples:
 Rewrite 3𝑥 + 2𝑦 = 6 in the form f(x) = mx + b.
Solutions:
Let f(x) = y.
3𝑥 + 2𝑦 = 6
1. Add -3x to both sides.
3𝑥 + (−3𝑥) + 2𝑦 = −3𝑥 + 6
2𝑦 = −3𝑥 + 6
2. Divide both sides by 2.

2. 2𝑦
2
=
−3𝑥 + 6
2
𝑦 = −
3
2
𝑥 + 3
3. Rewrite it in the form f(x) = mx + b.
𝑓(𝑥) = −
3
2
𝑥 + 3
 Rewrite 𝑓(𝑥) = −5𝑥 + 15 in the form Ax + By = C.
Solutions:
Let y = f(x).
𝑓(𝑥) = −5𝑥 + 15
1. Change f(x) into y.
𝑦 = −5𝑥 + 15
2. Add 5x to both sides.
𝑦 + 5𝑥 = −5𝑥 + 5𝑥 + 15
𝑦 + 5𝑥 = 15
3. Arrange the terms.
5𝑥 + 𝑦 = 15
D. Activity
Test I. Rewrite the following in the form f(x) = mx + b.
1. 3𝑥 + 𝑦 = 12
2. 5𝑥 − 4𝑦 = 20
Test II. Rewrite the following in the form Ax + By = C.
1. 𝑓(𝑥) = 3𝑥 + 6
2. 𝑓(𝑥) = 13𝑥 − 4
E. Generalization
What is the Standard Form of a Linear Equation?
What is the Slope-Intercept Form of a Linear Equation?
IV. EVALUATION:
Rewrite the following in the form f(x) = mx + b and vice versa.
1. 5𝑥 + 8𝑦 = 16
2. 𝑓(𝑥) = −
7
3
𝑥 +
7
3
3. 𝑓(𝑥) = 5𝑥 − 8
4. 4𝑥 = 7 − 2𝑦
5. 3𝑥 + 7𝑦 = 14

3. V. ASSIGNMENT:
Rewrite the following in Standard or Slope-Intercept Form.
1.
1
3
𝑥 + 2𝑦 = −6
2. 𝑓(𝑥) = −
3
4
𝑥
Demonstrated by:
KC LYN D. VILLIARDO
BSED – MATH 1 – A1 Student
Observed by:
MAE ENTICE
NSTP Instructor