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y=-3X the line would cross the y-axis at (0,0)
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rearrange: y = 3x - 3, which crosses the x-axis when y = 0, ie when x = 1
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.