Question

A line passes through $(2,2)$ and is perpendicular in the line $3x+y=3$ its y-intercepts is ____

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

Answer 1

Answer: (C)

$\frac{4}{3}$

Slope of given line $3x+y=3$ is $-3$

So the slope of required line will be $\frac{1}{3}$

Therefore equation of line passing through $(2,2)$ and having slope $\frac{1}{3}$ is given by,

$y-2=\frac{1}{3}(x-2)$

To get y-intercept, substitute$x=0$ in the line and solve for y

$y=2-\frac{2}{3}=\frac{4}{3}$