### Theory:

The intercept of a line is the distance from the origin to point which meets either $$x$$-axis or $$y$$-axis.
The $$y$$-intercept of the line is the point where the line meets the $$y$$-axis. Similarly, the $$x$$-intercept of the line is the point where the line meets the $$x$$-axis.

The intercept of a line can be expressed as $$y=mx+c$$ where $$m$$ is the slope of the line and $$c$$ is the point where the line meets the $$y$$-axis.
Example:
Find the $$x$$-intercept and $$y$$-intercept of the given graph.

Solution:

We know that $$y$$-intercept of the line is the point where the line meets the $$y$$-axis.

Hence, from the above graph, we can see that the line meets the $$y$$-axis at the point $$(0,2)$$.

Therefore, the $$y$$-intercept is $$2$$.

Similarly, we can find the $$x$$-intercept. Since $$x$$-intercept of the line is the point where the line meets the $$x$$-axis.

Hence, from the above graph, we can see that the line meets the $$x$$-axis at the point $$(1,0)$$.

Therefore, the $$x$$-intercept is $$1$$.