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what is an example of a linear equation. We call y the dependent variable. A linear equation is an equation where the unknowns or variables are powers with exponent one.
In mathematics a linear equation is an equation that may be put in the form a 1 x 1 a n x n b 0 displaystyle a_1x_1cdots a_nx_nb0 where x 1 x n displaystyle x_1ldotsx_n are the variables and b a 1 a n displaystyle ba_1ldotsa_n are the coefficients which are often real numbers. Watch Sal work through a basic Linear equations word problem. The equation written in this way is called the slope-intercept form.
The linear equation has only one variable usually and if any equation has two variables in it then the equation is defined as a Linear equation in two variables.
The coefficients may be considered as parameters of the equation and may be arbitrary expressions provided they do not contain any of the variables. For example 3x - 4y 5z 3 is a linear equation because the variables x y z are linear but xy. M the slope x the input variable the x always has an exponent of 1 so these functions are always first degree polynomial. A linear equation can help you figure it out.