The graphical concept of x- and y-intercepts is pretty simple. The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. The X-intercept of a line gives the idea about the point which crosses the x-axis.
Same way, the y-intercept is a point at which the line crosses the y-axis. One can find out only one intercept at a time in a given equation.
The x-intercept of a line is the point at which the line crosses the x axis. ( i.e. where the y value equals 0 )
\[\large x-intercept = (x, 0)\]
The y-intercept of a line is the point at which the line crosses the y axis. ( i.e. where the x value equals 0 )
\[\large y-intercept = (0, y)\]
Solved Example of X and Y Intercept
Example: Find the x- and y-intercepts of
Solution
Use the formula of the intercepts to find X and Y Intercept separately.
x-intercept:
Substituting y = 0 for the x-intercept, so:
Then the x-intercepts are the points (
y-intercept:
Substituting x =0 for the y-intercept, so:
The y-intercepts are the points (0, 3/2) and (0, -3/2).
