Question

If equation of a line is 3x+2y-6=0 then x-intercept is _____ and y-intercept is _____

(a) 3, 2

(b) 2, 3

(c) 2, 6

(d) 3, 6

I had been asked this question in a national level competition.

This intriguing question comes from Distance of a Point from a Line in division Straight Lines of Mathematics – Class 11

Answer 1

Right choice is (b) 2, 3

The explanation is: Reducing the above equation to intercept form x/a +y/b =1,

we get x/2 +y/3 =1

a=2 which is x-intercept and b=3 which is y-intercept.