Lines 2x – by + 5 = 0 and ax + 3y = 2 are parallel to each other. Find the relation connecting a and b.

Given lines, ⇒ 2x – by + 5 = 0 and ax + 3y = 2 ⇒ by = 2x + 5 and 3y = -ax + 2 ⇒ y = and Comparing above equations with y = mx + c we get, Slope of 1st line = Slope of 2nd line = Since, Slopes of parallel lines are equal. Hence, relation connecting a and b is ab = -6.