What is Linear Equations ?

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In mathematics, a linear equation is a type of equation. In a linear equation, both terms have to be constant. A linear equation is the equation of a straight line.

This type of equation is written in the form: y = mx + b OR (y - y1) = m(x - x1) WHERE m = the rate of change, or slope. The slope is how fast the line moves up or down.

Larger numbers will make the slope steeper. If m is a negative number, then the line will appear to fall or go down the page when read from left to right. If m is a positive number, then the line will appear to climb the page when read from left to right. b = the y-intercept of the function.

This is where the function crosses the y - axis of the coordinate plane. The first equation is called slope-intercept form, because in it, the slope (m) and y-intercept (b) are easily found. The second equation is called point-slope form, because in it, a point on the graph (x1, y1) and the slope (m) are easily found.

Facts about Linear Equations inform us with the algebraic equation. It may have a single variable. It should be written in the form of ax + b = 0 if it has one variable. It is considered as the simple equation. In this case, a ≠ 0. The constants refer to a and b. The parameters, numbers, and non-linear functions of parameters may serve as the constants. Here are other interesting facts about linear equations:

Sir William Rowan Hamilton was the inventor of linear equations in 1843. He was an Irish mathematician. He passed away in 1865.

Sir Hamilton gave great contribution in the field of mathematics with his algebraic theory and linear equation.

Linear equation has a closer relationship with linear algebra. The latter one highlights the linear equation and relationship of variables.