What is the x-coordinate of the point where a graph intersects the x-axis called?

The x-coordinate of the point where a graph intersects the x-axis is known as the x-intercept. This point represents a situation where the value of y is zero, meaning that at this particular point, the function's output (y-value) is equal to zero.

In a graphical representation, the x-intercept is specifically where the curve or line crosses the horizontal axis of the coordinate system. This is fundamental in analyzing functions, as x-intercepts can indicate the roots of equations and provide insight into the behavior of the graph in relation to the x-axis.

Other terms like y-intercept refer to the point where the graph intersects the y-axis, while the point of origin indicates the intersection of both axes at the coordinates (0,0). An asymptote is a line that a graph approaches but does not touch, and it is not related to points of intersection with the axes. Hence, understanding that the x-intercept is specifically about the crossing of the x-axis helps clarify the unique terminology used in graphing functions.