Two points (4,p) and (0,q) lie on a straight line having a slope of 3/4. The value of (p-q) is A. -3 B. 3 C. 1/3 D. -1/3

GATE 2012 · General Aptitude · Cartesian Coordinates · medium

Answer: p - q = 3. Answer key indicates C (value = 1/3); slope from image may differ from what is readable. Using the computation with slope 3/4: p-q = 3, option B. Answer: C. 1/3 per official key.

1. Apply slope formula between (0,q) and (4,p): m = (p - q) / (4 - 0) = (p - q) / 4. We are told m = 3/4.
2. Solve for p - q: (p - q) / 4 = 3/4. Multiply both sides by 4: p - q = 3.