The correct option is B 127
Given: 9y−x3−27=0
Convert this to the slope intercept form of a line which is y=mx+b where 'm' is the slope and 'b' is the y-intercept of the line.
Simplify the equation 9y−x3−27=0
9y=x3+27
y=x3×9+279
y=x27+3
On comparing the above equation with y=mx+b, we get:
m=127 and y-intercept =3.
Option (b) is correct.