What is an easy way to find the x and y intercepts of a line?

The equation of a line can be written in many ways. Each
of them is suited to determine some characteristic of the line. For example to determine
the slope and the y-intercept of a line it is written in the form y = mx + c, where m is
the slope and c is the y-intercept.

To determine the x and
y intercepts of a line in the general form ax + by + c = 0, the following can be
done.

ax + by + c =
0

=> ax + by =
-c

divide all the terms by
-c

=> (-a/c)x + (-b/c)y =
1

=> x/(-c/a) + y/(-c/b) =
1

The x-intercept here is -c/a and the y-intercept is
-c/b

To find the x and y intercept of any
line write the equation of the line in the form x/a + y/b = 1 which gives the
x-intercept as a and the y-intercept as b