The line with equation $y=2 x-6$ is translated upwards by 4 units. (That is, every point on the line is translated upwards by 4 units, forming a new line.) The $x$-intercept of the resulting line is
(A) 3
(B) $\frac{3}{2}$
(C) 4
(D) 1
(E) 2
The line with equation $y=2 x-6$ has slope 2 . When this line is translated, the slope does not change.

The line with equation $y=2 x-6$ has $y$-intercept -6 . When this line is translated upwards by 4 units, its $y$-intercept is translated upwards by 4 units and so becomes -2 .

This means that the new line has equation $y=2 x-2$.

To find its $x$-intercept, we set $y=0$ to obtain $0=2 x-2$ and so $2 x=2$ or $x=1$.

Thus, the $x$-intercept is 1 .

ANSWER: (D)