Question

The y-intercept of the line passing through the point (2, 2) and perpendicular to the line 3x + y – 3 = 0 is …..

(a) (3/4)

(b) (4/3)

(c) – (4/3)

(d) – (3/4)

Answer 1

The correct option (b) (4/3)   

Explanation:

slope of line : y = – 3x + 3 is – 3.

∴ slope of perpendicular line is (1/3).

This line passes through (2, 2).

∴ equation of line is (y – 2) = (1/3)(x – 2) 

3y – 6 = x – 2

∴ x – 3y + 4 = 0

∴ y intercept is + (4/3)