An equation is linear if and only if all of the unknown quantities are multiplied by a constant and added to the rest of the left or right side. In other words, there are no powers, trig, etc.
ex.
5x -y = 12 is linear.
3a +4b +5c +19d +pi*f = 0 is linear.
sin(x) = 0 is not.
x^2 = y-15 is not.
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You know if an equation is linear if it is a straight line. You can also know if the equation is y = mx + b where there are no absolute values nor exponents.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
A linear equation can have only one zero and that is the value of the variable for which the equation is true.
linear (A+)
a linear equation