The given equation is

This equation represents Slope-intercept form equation .

Compare the value of Slope and y-intercept \ \

Slope(m) = . and y-intercept(c)= 6.

By hypothes is the same y-intercept(c) but half the Slope(m) of the given line. \ \

So slope(m) = . and y-intercept(c)= 6.

Next find the slope - intercept form equation \ \

         (Substitute slope(m) = and y-intercept(c)= 6)

             (Simplify) \ \

The option (B) is correct.