question_answer

The equation of the line whose slope is 3 and which cuts off an intercept 3 from the positive x ? axis is

A)            \[y=3x-9\]

B)            \[y=3x+3\]

C)            \[y=3x+9\]                              

D)            None of these

Correct Answer: A

Solution :

           Obviously \[m=\tan \theta =\frac{-c}{3}\Rightarrow 3=\frac{-c}{3}\Rightarrow c=-9\]            Hence the required equation is\[y=3x-9\].