Let be the line that passes through the point and is parallel to the line

MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Let

L

be the line that passes through the point

(2k,\,k)

and is parallel to the line

4x - y + 2 = 0

. If

L

meets the

y

–axis at the point whose

y

–coordinate is

5

, then the value of

k

is: (a)

-\dfrac{7}{5}

(b)

\dfrac{5}{7}

(c)

-\dfrac{5}{7}

(d)

\dfrac{5}{9}