Question

A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is
(I.I.T.Sc. 1992)

• A. $\frac{1}{3}$
• B. $\frac{2}{3}$
• C. 1
• D. $\frac{4}{3}$

Answer 1

The correct option is D $\frac{4}{3}$

Perpendicular line to 3x + y = 3 will be having a slope of -1/(-3) = 1/3. We also know that the line passes through (2,2). Therefore equation of the line will be (x - 2) - 3(y - 2) = 0 i.e x - 3y + 4 = 0
Putting x = 0, we get y = 4/3. Therefore, the y intercept will be 4/3.