Problem

What is the equation of the line that passes through the point \( (6,-8) \) and has a slope of \( -\frac{5}{6} \) ?

Answer

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Answer

3. Simplify: \( y + 8 = -\frac{5}{6}x + 5 \)

Steps

Step 1 ：1. Use point-slope form: \( y - y_1 = m (x - x_1) \)

Step 2 ：2. Substitute values: \( y - (-8) = -\frac{5}{6}(x - 6) \)

Step 3 ：3. Simplify: \( y + 8 = -\frac{5}{6}x + 5 \)

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