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NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 41 of 74
Marks: +1, -0
Find equation of the line parallel to the line 3x – 4y + 2 = 0 and passing through the point (–2, 3).
Solution:  
We have given an equation of line 3x – 4y + 2 = 0 ... (i)
Slope of the line (i) = 34\frac{3}{4}
Thus, slope of any line parallel to the given line (i) is 34\frac{3}{4} and passes through (–2, 3), then its equation is
y - 3 = 34\frac{3}{4} (x (- 2)) ⇒ 4y - 12 = 3x + 6
⇒ –4y + 12 + 3x + 6 = 0 ⇒ 3x – 4y + 18 = 0
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