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Linear equation

In analytic geometry, a linear equation can always be expressed as an equation of the first degree in two unknowns

ax + by + c = 0

and forms a straight line.

 


Explanation

At school you learn that the equation of a straight line is written as

y = ax + b

or as

y = mx + n

but of course that is all the same. After all, you can also write the linear equation as

by = −ax − c 

from which follows

In mathematics use the notation that fits best in a particular case. It is not a question of what is beautiful or what you usually do, but for what is clear.

 


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