A linear equation can be written in many different forms. Two forms are used frequently. ax+by=c is standard form as y=mx+b is slope intercept form.
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Ax + By = C
To identify the slope in a linear equation, rearrange the equation into the form y = mx + b. The term m is the slope.
The general form is for a linear equation in n variables is SUM aixi = b (i = 1,2,3,...,n) where xi are the variables and the ai are constant coefficients.
The slope-intercept form of a linear equation is y = mx + b where m = slope and b = the y-intercept.
y=mx+b