Q39 of 59 Page 178

A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is

Given line is 3x + y = 3

Now, we find the slope of given equation 3x + y = 3


It can be re-written as y = -3x + 3


Since, the above equation is in y = mx + b form


So, the slope m = -3



So, the line passes through (2, 2) and having slope is



⇒ 3y – 6 = x – 2


⇒ 3y = x + 4


[∵y = mx + c]


So, the y – intercept is


Hence, the correct option is (d)

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