Difference in math means to subtract. To subtract two equations match up the variable and do subtraction. This is a method of solving systems of equations.
Example:
2x+3y=8
5x+3y=11
If you subtract the two you are left with -3x+0y=-3
Therefore x must equal 1 and through substitution you 2(1)+3y=8 which is y=2.
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A linear equation, when graphed, is always a line. A quadratic is a curve. Also, linear equations are of the form y=mx+b where m and b are arbitrary constants and quadratics are y=(x^2) +mx +b where m and b are arbitrary constants.
linear system is like a chemistry equation or math equation where on both sides it must balance. Nonlinear is a math equation or physics that does not appear to have a direct answer just like chaos theory. lulu254ever
If the algebraic equation is linear, in the form y = mx + b, the slope is simply m; the difference in y of any 2 points divided by the difference in x of those points (rise over run). If the equation is non-linear, the slope is the first derivative of that equation, from calculus. You woul need to know calculus to solve in this case. The slope will vary from point to point, unlike the linear case, where slope is constant.
A linear equation has no higher powers than 1. This is linear.
When it is a linear equation.