Hi! Do you mean "How would you rewrite the following equations to ax + bc = c (standard form) and y = mx + b (slope-intercept form)?" :)

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Standard form to Slope Intercept form

SF to SIF

Let us say A = 4, B =7, and C = 9.

4x + 7y = 9

Place the term with the "x" or the literal coefficient "x" in the right hand side of the equation.

4x - 4x + 7y = 9 - 4x

7y = 9 - 4x

Divide both sides by 7.

7y/7 = 9/7 - 4x

y = 9/7 - 4x

You can make it exactly to y = mx + b or SIF by switching some terms in the right hand side.

y = -4x + 9/7 (or y = -4x + 1.28 when 9/7 is in decimal form)