The slope intercept form is expressed as y = mx + c, where m is the slope and c is the y intercept.
If you had a slope intercept linear equation such as y = -1/3x + 5
Then this could be presented in a non standard form 3y = 15 - x
Each format has its benefits and these will become apparent as your graph/coordinate work develops.
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A standard form of a linear equation would be: ax + by = c
aX+bY+cZ=0 Is a type of linear equation.
There is one form of linear equation that is not a function, and that is when x = c, where c is a constant.
The equations are equivalent.
Ax+By=C