The line with equation $y=2 x+b$ passes through the point $(-4,0)$. The value of $b$ is
(A) $\frac{1}{2}$
(B) 1
(C) 2
(D) 4
(E) 8
Since the line with equation $y=2 x+b$ passes through the point $(-4,0)$, the coordinates of the point must satisfy the equation of the line.

Substituting $x=-4$ and $y=0$ gives $0=2(-4)+b$ and so $0=-8+b$ which gives $b=8$.

ANsWER: (E)