The point at which a curve intersects an axis is known as an Intercept

More About Intercept

The x-intercept is the point where the curve crosses the x-axis and the y-intercept is the point where the curve crosses the y-axis.

Video Examples: X and Y intercepts

Example of Intercept

In the figure, the line cuts the x-axis at (- 2, 0) and y-axis at (0, - 3). So, x-intercept is - 2 and y-intercept is - 3.

Solved Example on Intercept

Ques: Find the x and y intercepts of the line AB shown below.

Choices:

A. x-intercept is - 3 and y-intercept is 0
B. x-intercept is 3 and y-intercept is - 3
C. x-intercept is - 3 and y-intercept is 3
D. x-intercept is 3 and y-intercept is 3
Correct Answer: C

Solution:

Step 1: The x-intercept is the x-coordinate of the point where a line crosses the x-axis.
Step 2: In the figure, the line crosses the x-axis at B (- 3, 0).
Step 3: So, the x-intercept of the line is - 3.
Step 4: The y-intercept is the y-coordinate of the point where a line crosses the y-axis.
Step 5: In the figure, the line crosses the y-axis at A (0, 3).
Step 6: So, the y-intercept of the line is 3.
Step 7: The x and y-intercepts of the line are - 3 and 3 respectively.