An equation that represents a straight line in mathematical form is called an equation of a straight line.

A straight line can be expressed in mathematical form algebraically. There are five ways to write straight lines in algebraic form mathematically. Learn all of them one after one to understand the different cases of expressing straight lines in mathematics.

There are two types of slope intercept form linear equations. The first one is slope x-intercept form and the second one is slope y-intercept form of straight line.

$(1) \,\,\,\,\,\,$ $y \,=\, mx+c$

$(2) \,\,\,\,\,\,$ $x \,=\, m’y+c$

A linear equation in algebraic form when the straight line passes through origin with slope in two dimensional space.

$y \,=\, mx$

A linear equation in algebraic form in terms of $x$ and $y$ intercepts.

$\dfrac{x}{a}+\dfrac{y}{b} \,=\, 1$

A linear equation in algebraic form in terms of coordinates of a point and slope.

$y-y_{1} \,=\, m(x-x_{1})$

A linear equation in algebraic form in terms of coordinates of two points.

$y-y_{1} \,=\, \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})$

The above five cases of linear equations are simply written generally in the following standard form linear equation.

$ax+by+c \,=\, 0$

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