Linear Equations and Slope

 

Parallel and Perpendicular Slope

 

In Summary

Linear equations are mathematical equations that describe a straight line on a graph. These equations typically have the form y = mx + b, where m is the slope of the line and b is the y-intercept. Linear equations are often studied in algebra courses, where students learn how to solve for the unknown variables in these equations.

Some real world examples of linear equations include calculating the distance traveled by a car moving at a constant speed, the amount of money a person earns as a function of the number of hours they work, the number of units a company sells as a function of the price. Anything with a constant growth rate.

It is not clear who first discovered linear equations, as they have been studied by mathematicians for many centuries. However, the concept of a straight line on a graph can be traced back to the ancient Greeks, who used geometric techniques to study these lines and the equations that describe them.