A Cartesian coordinate system, or rectangular coordinate system, is a 2-dimensional coordinate system. The X-axis and Y-axis only intersect at one special point called the origin. This point has the coordinates of (0,0).
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y-intercept
The point where a straight line crosses the y (vertical) axis.
The x-intercept is the point where the line crosses the x-axis. 'y' is zero at every point on the x-axis. So to find where the line crosses the x-axis, make 'y' zero, and solve the equation for 'x'. -- The y-intercept is the point where the line crosses the y-axis. 'x' is zero at every point on the y-axis. So to find where the line crosses the y-axis, make 'x' zero, and solve the equation for 'y'. This is the central idea that the following answer calls "zero out". =========================================================X and Y intercepts
b is the y intercept so it is the point (0,b) which is where the line crosses the y axis.
For a line, this is the x-intercept. For a polynomial, these points are the roots or solutions of the polynomial at which y=0.