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

Options

A. 5
B. 13
C. -2
D. 26

Answer

B

Explanation

Slope of the given line,
`x- 2y = 4 "is" (1)/(2)`
Equation of a line passing through A(6,1) and perpendicular to given line in
`y -1 = (-2)(x-6)`
`rArr" "y-1 = - 2x +12`
`rArr" " 2x+ y = 13`
`rArr" "(x)/((13)/(2)) +(y)/(13) = 1`
`therefore` y - intercept of slope (i) 13.