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

Question

Philoid · Accepted Answer

The equation of the line perpendicular to 3x + y = 3 is given below:

x – 3y + λ = 0

This line passes through (2, 2).

2 – 6 + λ = 0

⇒ λ = 4

So, the equation of the line will be

x – 3y + 4 = 0

⇒ y = 13x + 43

Hence, the y-intercept is .