Question:
Find the equation of the line with slope 3 passing through the point (2, -1).
बिंदु (2, -1) से गुजरने वाली और ढाल (प्रवणता) 3 वाली रेखा का समीकरण ज्ञात कीजिए।
Options:
- y = 3x – 7
- y = 3x + 5
- y = 2x – 5
- y = -3x + 7
- y = 3x – 7
- y = 3x + 5
- y = 2x – 5
- y = -3x + 7
Correct Answer: a)
Explanation:
Using the point-slope form of a linear equation:
\(y – y_1 = m(x – x_1)\)
\(y – (-1) = 3(x – 2) \implies y + 1 = 3x – 6 \implies y = 3x – 7\).
बिंदु-प्रवणता सूत्र का प्रयोग करने पर:
\(y – y_1 = m(x – x_1)\)
\(y – (-1) = 3(x – 2) \implies y + 1 = 3x – 6 \implies y = 3x – 7\)।