Question

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

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

Answer 1

Answer: (D)

$\frac{4}{3}$

Answer 2

The equation of a line passing through (2, 2) and

perpendicular to $3x + y = 3$ is

$y - 2 = \frac{1}{3}(x - 2)$ or $x - 3y + 4 = 0$. Putting $x = 0$ in this

equation, we obtain $y = \frac{4}{3}$.

So y-intercept = $\frac{4}{3}$.