Question

Select the correct option from the given alternatives:

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

Options

• `1/3`

• `2/3`

• 1

• `4/3`

Answer 1

`4/3`

Explanation:

Slope of line 3x + y = 3 is −3

∴ Slope of the line perpendicular to given line = `1/3`.

Equation of required line passing through (2, 2) and having slope `1/3` is

y − 2 = `1/3("x"-2)`

∴ 3y − 6 = x − 2

∴ x − 3y + 4 = 0

y-intercept = `(-4)/(-3)=4/3`