The easiest way to approach this one is to visualize it. The slope is negative, meaning it goes downhill from left to right. It crosses the y-axis at 4. That means that (0,4) is a point on the line.
If the x-intercept is -1, then we have a line that slopes upward from left to right, and thus has a positive slope.
If the x intercept is 0, we have a vertical line, which doesn't have a negative slope.
If the x-intercept is anything positive (like 6) then we have a line that slopes downward, so this is our only viable option.