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Question

The slope of the line given as: 9y−x3−27=0 is

A
27
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B
127
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C
127
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D
3
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Solution

The correct option is B 127
Given: 9yx327=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 9yx327=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.

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