The standard form of a linear equation in n variables is a1x1 + a2x2 + ... + anxn = b.
The ai and b are constants and the xi are variables.
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A linear function is of the form y = ax + b
A function of the form f(x) = mx + c where m and c are constants is linear.
Ax + By = C
If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".
The y-intercept is c in the standard form. The x-intercept is -c/m.