<p>Find the value of \(x\) when the slope between two points is \(\frac{0+2}{x-8} = \frac{4+2}{-3-8} = -\frac{6}{11}\).</p>
Step-by-Step Solution
Key Concept: Use the slope formula and cross-multiplication to solve for the unknown coordinate.
<p><strong>Step 1:</strong> Set up the equation: \(\frac{2}{x-8} = -\frac{6}{11}\)</p><p><strong>Step 2:</strong> Cross-multiply: \(2 \cdot 11 = -6(x-8)\)</p><p><strong>Step 3:</strong> \(22 = -6x + 48\)</p><p><strong>Step 4:</strong> \(6x = 26\)</p><p>∴ \(x = \frac{13}{3}\)</p>
Correct Answer: 13/3