MY ppt helping a diploma cource in computer applications

1. •DEFINITION
•FORMS OF LINEAR EQUATION
• STANDARD FORM
• SLOPE-INTERCEPT FORM
• POINT SLOPE FORM
•HOW TO SOLVE LINEAR EQUATIONS
• SOLUTION OF LINEAR EQUATION IN ONE VARIABLE
• SOLUTION OF LINEAR EQUATION IN TWO VARIABLES
• SOLUTION OF LINEAR EQUATIONS IN THREE VARIABLES
•SOLVING LINEAR EQUATIONS
•PRACTICE QUESTIONS

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Linear Equation in One
variable
Linear Equation in Two
variables
Linear Equation in Three
variables
3x+5=0
(3/2)x +7 = 0
98x = 49
y+7x=3
3a+2b = 5
6x+9y-12=0
x + y + z = 0
a – 3b = c
3x + 12 y = ½ z

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7. Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Where m = slope of a line; (a, b) intercept of x-axis and y-axis.

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• METHOD OF SUBSTITUTION
• METHOD OF ELIMINATION

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LINEAR EQUATIONS IN TWO VARIABLE.
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21. 0 3 1 2 …
6 0 4 2 …
We can plot the above points (0,6), (3,0),
(1,4), (2,2) in a coordinate plane (Refer
figure).
We can take any two points and join
those to make a line. Let the line be PQ. It
is observed that all the four points are
lying on the same line PQ.