Practice of Algebra Application

Introduction:

 Applications of algebra are found everywhere; the principles of algebra are applied in all branches of mathematics, for instance, calculus, geometry, and topology. They are applied every day by men and women working in all type of business. As a typical example of applying algebraic methods.

     Algebra is often referred to as a generalization of arithmetic, so it is collection of rules, then the rules for translating words into symbolic notation of mathematics, rules for formulating statements using symbolic notation, and rules for rewriting mathematical statements in  a manner that leaves their truth unchanged. 

Application of Algebra in Slopes of Straight Lines:

In general slope of equation is y=mx+b
Practice  Problem 1:
Y=x-3
Where m=1 (co efficient of x)
               B=-3
Equation of point-slope :
 Formula for point,slope
                (y-y1)=m(x-x1)

Practice  problem 1.  Find the equation of the line which passes through the point (2, 2) and has slope3.
Solution:
       Equation is    (y-y1)=m(x-x1)
Where, x1=2
                Y1=2
                M=3
So,
        y-2=3(x-2)
        y-2=3x-6
Answer is: 3x-y-4=0