Example

Solving m=y2x3m = \frac{y-2}{x-3} for yy

To solve the slope-derived formula m=y2x3m = \frac{y-2}{x-3} for yy, follow these steps: 1. Note restriction: xeq3x eq 3. 2. Clear fractions: Multiply both sides by the LCD (x3)(x-3) to obtain m(x3)=y2m(x-3) = y-2. 3. Simplify: Expand to mx3m=y2mx - 3m = y - 2. 4. Isolate yy: Add 22 to both sides, resulting in y=mx3m+2y = mx - 3m + 2. This demonstrates how to manipulate rational equations derived from geometric formulas.

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Updated 2026-04-30

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Ch.7 Rational Expressions and Functions - Intermediate Algebra @ OpenStax

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