It could be part of the number line
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X = 0
Set x=0, solve for y, which is the y intercept: 0 - 3y = 9 --> y = -3. Set y=0 and solve for x = 9 for x-intercept.
y intercept That is where the line crosses y axis at x = 0
y - x = 0 which is the same as y = x + 0 which is of the form y = mx + c where m is the slope and c is the intercept. Hence for y = x + 0, the slope is 1 ans the intercept is 0. The equation represents a line making 45 degrees to the a-axis and it passes through the origin.
Any collection or set (or subset) that does not contain 0. For example {3, pi, -37.6, sqrt(98), blue, dog, safuggff}