Intercept Definition in X and Y Intercept
An intercept is defined as the point where the line or curve crosses the axis. If the point is on the x-axis then it is called the x-intercept and if the point is on the y-axis, then it is called the y-intercept.
We generally represent the x-intercept by a and the y-intercept by b. The equation of the line making a and b intercept on the x and y axis respectively is,
x/a + y/b = 1
X and Y Intercept Formula
X and Y Intercept Formula as the name suggests, is the formula to calculate the intercept of a given straight line. An intercept is defined as the point at which the line or curve intersects the graph’s axis. The intercept of a line is the point at which it intersects the x-axis or the y-axis.
When an equation isn’t in the form y = mx + b, we determine the intercepts by substituting 0 as necessary and solving for the corresponding variable.
- To find the y-intercept, we set x = 0 and solve for y. This yields the point (0,y).
- To find the x-intercept, we set y = 0 and solve for x. This gives us the point (x,0).
Table of Content
- Intercept Definition in X and Y Intercept
- What is X-Intercept?
- X-Intercept Formula
- Derivation of X-Intercept Formula
- What is Y-Intercept?
- Y-Intercept Formula
- Derivation of Y-Intercept Formula
- How To Find X And Y Intercepts?
- Intercept Form of a Straight Line
- Intercept Graph
- For Point-Slope Form
- Uses of X And Y Intercept
- Solved Example of X and Y Intercept Formula
- Practice Problems on X and Y Intercept Formula
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