LINEAR-EQUATION-PRESENTATION.pptx

1. LINEAR EQUATION
*Writing linear
equation
ax + by = c
in the form
y = mx + b
and vice versa.

2. Jona R. Gregorio
UNIVERSITY OF RIZAL SYSTEM
Student Teacher

3. Objectives
1. Identify standard form and slope-
intercept form.
2. Rewrite linear equation in slope-
intercept form to standard form and
vice versa.
3. Answer with accuracy in rewriting
the equation

4. Directio
n:
Identify following linear equations whether in
standard form or slope - intercept form.
1. 5x + 4y = 7
2. 2x - 6 = y
3. x - 7y = 0
4. y =
3
x + 3
STANDARD FORM
STANDARD FORM
SLOPE - INTERCEPT FORM
SLOPE - INTERCEPT FORM

5. A linear equation is an equation in two
variables which can be written in two
forms;
Standard Form or
General Form:
Ax + By = c
where A,B and C
∈ℝ,A ≠ 0 and B ≠ 0;
Slope- Intercept Form:
y = mx + b where m is
the slope and b is the
y- intercept, m and b
∈ℝ, and m ≠ 0.

6. Direction:
Write the following linear equation Ax + By = C in the form
y = mx + b.
Example 1:
1
4
[ 4y = -5x + 8 ]
1
4
(Multiplication Property of
Inequality)
( Given)
(Addition Property of Inequality)
(- 5x) + 5x + 4y = 8 - 5x )
y =-
5𝑥
4
+
8
4
𝑜𝑟 𝒚 = −
𝟓𝒙
𝟒
+ 2
1. 5x + 4y = 8
y = mx + b

7. Direction: Write the following linear equation Ax +
By = C in the form y = mx + b.
Example 2:
1
2
[ 2y = -9x + 2 ]
1
2
(- 9x) + 9x + 2y = 2 - 9x
𝒚 = −
𝟗𝒙
𝟐
+ 1
( Given)
(Addition Property of Inequality)
(Multiplication Property of
Inequality)
2. 9x + 2y = 2
y = mx + b

8. Direction: Write the following linear
equation y = mx + b in the form Ax + By =
C.
Example 3:
( Given)
( 2x ) + y = - 2x + 7 + 2x
3. y = -2x + 7
2x + y = 7
(Addition Property of Inequality)
Ax + By = C

9. Direction: rite the following linear equation
y = mx + b in the form Ax + By = C.
Example 4:
(-12x) + y = 12x + 3 - 12x
4. y = 12x + 3
-1 [-12x + y = 3] -1
12x - y = -3
( Given)
(Addition Property of Inequality)
Ax + By = C

10. ACTIVITY:
Rewrite the following
equations in the form
y = mx + b and identify
the values of m and b.
1. 2x + y =9
2. x + 2y = 4
3. 3x - y + 2
Rewrite the
following
equations in the
form Ax + By = C.
1. y = -x + 4
2. y = -2x + 6
3. y = 5x + 7