Question

The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is ______.

Options

• 5

• 13

• - 2

• 26

Answer 1

The y-intercept of the line passing through A( 6, 1) and perpendicular to the line x - 2y = 4 is 13.

Explanation:

Slope of the given line,

`x - 2"y" = 4  "is"  1/2`

Equation of a line passing through A(6, 1) and perpendicular to given line Is

y - 1 = ( - 2)(x - 6)

⇒ y - 1 = - 2x + 12

⇒ 2x + y = 13

⇒ `x/((13/2)) + "y"/13 = 1`     ...(i)

∴ y - intercept of slope (i) is 13.