The document discusses rewriting linear equations in the form y=mx+b. It provides an example of rewriting the equation 3x+2y=6 in this form, showing that y=-3/2x + 3. It defines what makes an equation linear and explains that a linear equation can be written in either standard form (Ax + By = C) or slope-intercept form (y = mx + b). Students are assigned to rewrite several sample equations in the form y=mx+b and identify the values of m and b.

2. DETERMINE WHETHER THE FUNCTION IS LINEAR OR NOT

3. QUIZ BOWL CONTEST!

4. Rewrite the linear equation ax + by = c in
the form y = mx + b

5. OBJECTIVE:
At the end of the lesson, the students will be able to:
- Rewrite the linear equation ax + by = c in the
form y = mx + b

6. HOW DO WE REWRITE THE
EQUATION 3X + 2Y = 6 IN THE
FORM Y = MX + B?

7. THE EQUATION 3X + 2Y = 6 CAN BE SOLVED FOR Y:
3X + 2Y = 6 GIVEN
3X + 2Y + (–3X) = 6 + (–3X) ADDITION PROPERTY OF EQUALITY
2Y = –3X + 6 SIMPLIFICATION
2𝑦
2
=
-3𝑥
2
+
6
2
DIVISION PROPERTY OF EQUALITY
Y =
-3
2
X + 3 SIMPLIFICATION

8. A LINEAR EQUATION IS AN EQUATION IN TWO
VARIABLES WHICH CAN BE WRITTEN IN TWO
FORMS:
STANDARD FORM: AX + BY = C, WHERE A, B
AND C∈ℜ, A ≠ 0 AND B ≠ 0; AND
SLOPE-INTERCEPT FORM: Y = MX + B,
WHERE M IS THE SLOPE AND B IS THE Y-INTERCEPT,
M AND B∈ℜ, AND M ≠ 0.

9. WONDERSHARE ACTIVITY!

10. ASSIGNMENT:
TEACHER’S ACTIVITY STUDE
Be challenged!(additional)
 Rewrite the following equations in the
form y = mx + b and identify the values of m and b.
1. 3x +
1
2
y = 4
2.
2
3
x −
1
3
y = 1
3.
5
2
x +
2
3
y − 5 = 0
4.
2
3
x −
1
5
y =
3
5