The line with equation $y=x+4$ is translated down 6 units. The $y$-intercept of the resulting line is
(A) 6
(B) 4
(C) 10
(D) -6
(E) -2
The line with equation $y=x+4$ has a $y$-intercept of 4 .

When the line is translated 6 units downwards, all points on the line are translated 6 units down.

This moves the $y$-intercept from 4 to $4-6=-2$.

ANSWER: (E)