How to Convert Standard Form to Slope-Intercept Form
To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), just solve for y. First, isolate the term with y by moving Ax to the other side (so it becomes -Ax + C), then divide everything by B. Voilà, slope-intercept magic!
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Break it down step-by-step: Start with Ax + By = C. Move Ax to the right side: By = -Ax + C. Now, divide each term by B: y = (-A/B)x + (C/B). Tada! You've got it in slope-intercept form, y = mx + b.
I've done this a million times in algebra class. Shift Ax over to the right side of the equation, then divide all terms by B to isolate y. Your equation will be in slope-intercept form in no time!
Just solve for y. Seriously, it's that simple.
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