Find the value of \(p\) for which the lines, \(px + 3y+5= 0\) and \(8x + 2y - 3 = 0\) are parallel.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 12
Parallel lines have equal slopes. The line \(ax+by+c=0\) has slope \(-\frac{a}{b}\).
Slope of \(px+3y+5=0\) is \(-\frac{p}{3}\)
Slope of \(8x+2y-3=0\) is \(-\frac{8}{2}=-4\)
Equal slopes: \(-\frac{p}{3}=-4\), so \(p=12\)