If the equation of the line is written in the standard form: y = mx + c, then it crosses the y-axis at the point (0,c).
Here y = x+2 so the y-intercept is (0,2).
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y = 3x + 1 is a linear equation - it is the equation for a graph of a straight line that crosses the y axis at 1 and the x axis at -1/3, and has a gradient (slope) of 3.
The one which shows a straight line with a positive gradient of 3 and crossing the y axis at 2.
The equation y = mx + b is the equation for a line in slope intercept form, with m being the slope, and b being the y-axis intercept.
In this case, the discriminant is less than zero and the graph of this parabola lies above the x-axis. It never crosses.