NCERT · Class 11 · Mathematics · Straight LinesWhat is the slope of a line passing through the points $(2, 3)$ and $(4, 7)$?
Step-by-Step Solution
The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points $(2, 3)$ and $(4, 7)$: $m = \frac{7 - 3}{4 - 2} = \frac{4}{2} = 2$. Therefore, the correct option is B.
Detailed Options Breakdown
Option : 1
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
Option 1: 2 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 3
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
Option 3: 4
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.