Either the answer is
the point in the second quadrant, at a distance of one unit from each of the coordinate axes, or
the question is incomplete.
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The coordinates of the x intercept for the equation y equals x plus 1 is (x=-1, y=0).
If the equation is: y = -x then the slope is -1 and there is no y intercept
It is a straight line equation.
Are you sure the directions don't have "solve the equation as x=___ and y=___"
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.