An x-intercept of 3
→
(
3
,
0
)
is a point on the line
A y-intercept of (-2)
→
(
0
,
−
2
)
is a point on the line
The slope of the line is given by
m
=
Δ
y
Δ
x
=
0
−
(
−
2
)
3
−
0
=
2
3
The slope-intercept form of the equation of a line is
y
=
m
x
+
b
where
m
is the slope and
b
is the y-intercept.
Therefore the equation of this line can be written as
y
=
2
3
x
−
2
If you want to "clear" the fraction this could be re-written as
3
y
=
2
x
−
6
