Slope of y-axis

Is the slope of the y-axis positive?

Slope of y-axis is not defined.
image
consider the line AO,
where A(0,4) and O(0,0).
The slope will be :

slope = \frac{y2 - y1}{x2 - x1} = \frac{4 - 0}{0 - 0} = \frac{4}{0} = undefined