Intercepts of a Line

The intercepts of a line are the points at which it crosses the coordinate axes. The $x$-intercept is the point where the line meets the $x$-axis — where the $y$-coordinate is zero — and the $y$-intercept is where it meets the $y$-axis — where the $x$-coordinate is zero. (Consequently, the equation of the $y$-axis itself is $x=0$, and the equation of the $x$-axis itself is $y=0$: every point on the $y$-axis has zero $x$-coordinate, and vice versa.) …