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Standard form and Slope-Intercept form are similar by the fact that they can all mean the same thing you can change Slope to Standard and back. They are different because Standard is in Ax+By=C and Slope Intercept is y=mx+b
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The standard and slope intercept form of a linear equation are similar in that, they both express the same information however, they have different general expression.

Using the standard form of expression :

The general form of a standard linear relation is expressed as Ax + By = C,

Using the Slope intercept form :

The general form of a slope intercept linear relation is expressed as y = bx + c ,

  • Both expression gives the same information, as slope intercept expressions can be easily converted into standard form and vice versa without changing the information represented on the graph or table.

Therefore, the difference in the two formats is their syntax.

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