Which line is having the greatest inclination with the positive direction of the x-axis? (a) Line joining the points (1, 3) and (4, 7) (b) Line `( c ) (d)3x-4y+3=0( e )` (f)

Explanation

(i) Slope of the line joining the points `A(1,3)` and B(4,7) is `(7-3)/(4-1)=(4)/(3)=tanalpha`
(ii) Slope of the line `3x-4y+3=0` is `-(3)/(-4)=(3)/(4)=tanbeta`
Now, `tanalphagttanbeta`
or `alphagtbeta`
Thus, (i) is having the greatest inclination with the positive direction of the x-axis.