A line that followed y = 0 would be exactly the same as the line of the x axis.
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The line with equation crosses the y-axis at (0, 0), so the y-intercept is 0. While the line with equation x = 1 does not cross the y-axis at all (it is parallel to it), so it has no y-intercept.
the slope of the line y=3 is 0. if you draw the line y=3, you get a straight horizontal line across the 3 on the y axis. Since the line is horizontal and parallel to the x axis, it's slope is 0.
y=0 is a horizontal line on the x-axis. Therefore, it does not lie in any quadrant.
Where the line cuts the x axis, y=0 so -2x-12=0 or x = -6 ie the x-intercept is (-6,0). Where the line cuts the y-axis, x=0 so 3y-12=0 or y = 4 ie the y-intercept is (0,4).