Straight Lines
Equation of Line
Grade 11
Question:
<p>A line passes through the origin and point \((8, 11)\). Find the equation of this line.</p>
<p>(A) \(11x - 8y = 0\)</p>
<p>(B) \(11x = 8y\)</p>
<p>(C) \(8x - 11y = 0\)</p>
<p>(D) \(y = \frac{8}{11}x\)</p>
Step-by-Step Solution
Key Concept: For a line through the origin, use slope formula and convert to standard form.
<p><strong>Step 1:</strong> Line passes through origin \((0, 0)\) and \((8, 11)\)</p><p><strong>Step 2:</strong> Slope \(= \frac{11 - 0}{8 - 0} = \frac{11}{8}\)</p><p><strong>Step 3:</strong> Equation: \(y = \frac{11}{8}x\)</p><p><strong>Step 4:</strong> Rearranging: \(11x = 8y\)</p><p>∴ Answer is B.</p>
Correct Answer: B