MP Board · Class 11 · Mathematics · Straight LinesWhat is the equation of the line passing through $(-4, 3)$ with a slope of $1/2$?
Step-by-Step Solution
Using the point-slope form: $y - y_1 = m(x - x_1)$. Here, $x_1 = -4, y_1 = 3, m = 1/2$. Substituting these values: $y - 3 = \frac{1}{2}(x - (-4)) \implies y - 3 = \frac{1}{2}(x + 4) \implies 2(y - 3) = x + 4 \implies 2y - 6 = x + 4 \implies x - 2y + 10 = 0$. Therefore, the correct option is B.
Detailed Options Breakdown
Option : $x + 2y - 2 = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
Option 1: $x - 2y + 10 = 0$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $2x - y + 11 = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
Option 3: $x - 2y - 10 = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
💡 Study Guide: This question tests core syllabus concepts from Straight Lines. For formulas, key summaries, and mock exam reference guides, read the full Straight Lines Revision Notes.