MP Board · Class 11 · Mathematics · Straight LinesWhat is the equation of the line that makes intercepts $-3$ and $2$ on the x-axis and y-axis respectively?
Step-by-Step Solution
The intercept form of a line is $\frac{x}{a} + \frac{y}{b} = 1$, where $a$ is the x-intercept and $b$ is the y-intercept. Given $a = -3$ and $b = 2$. Substituting these: $\frac{x}{-3} + \frac{y}{2} = 1 \implies \frac{-2x + 3y}{6} = 1 \implies -2x + 3y = 6 \implies 2x - 3y + 6 = 0$. Therefore, the correct option is A.
Detailed Options Breakdown
Option : $2x - 3y + 6 = 0$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: $3x - 2y - 6 = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
Option 2: $2x + 3y - 6 = 0$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Straight Lines.
Option 3: $2x - 3y - 6 = 0$
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.