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The point where the line crosses the x-axis is the x-intercept and the point where the line crosses the y-axis is the y-intercept. In this article, you will learn what is the intercept, how to find the intercept for a given line, graphing intercepts along with solved examples.
If the line cuts the x-axis at the point(a, 0), then 'a' is the x-intercept, and if the line cuts the y-axis at the point (0, b), then 'b' is the y-intercept. X and Y-intercept are useful to find the slope, equation of a line, and also to find the area made by the line with the coordinate axes.
The y-intercept of a graph is the point where the graph crosses the y-axis. Since the y-intercept is a point on the y-axis, its x-coordinate is always 0. Thus, the coordinates of the y-intercept are of the form (0, y). Take a look at the y-intercept of a line on a graph shown below. Note:
Review of x-intercepts and y-intercepts of lines, including definitions and examples.
The term "intercept" refers to the x- and y-intercepts of of a given equation. The x-intercept is the point at which a line crosses the x-axis and the y-intercept is the point at which a line crosses the y-axis. The figure below shows an example of an x-intercept (green dot) and a y-intercept (red dot).
The -intercept is the point on the -axis where the line intersects the -axis. Similarly, the -intercept is the point on the -axis where the line intersects the -axis. One way to describe a line using the slope and -intercept is the so-called slope-intercept form of the line.
Intercept is a mathematical term used to describe the point at which a line or curve intersects a coordinate axis. It is also used to describe the y-intercept of a linear equation, which is the y-coordinate of the point at which the line crosses the y-axis.