You cannot determine the slope using only the -intercept, or by using any other single point for that matter. You need two points to uniquely determine a line.
Consider the equation where is any real number. The graph is a line passing through the origin with a slope of . The -intercept is the origin, but the slope is and since is any real number, there are an infinite number of lines with the the specified -intercept all with different slopes.
John
My calculator said it, I believe it, that settles it