The term for a line intercepting the y-axis is a y-intercept. In the equation y=mx+b, which is slope-INTERCEPT form, b is the y-intercept. Once again, the answer to your question is a y-intercept.
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intersecting lines
Mutually Perpendicular
The phrase is a "conic section".
Those are known as conic section, and they are described by equations of degree 2.
area