The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
We can solve this equation for
y
to get it into this format.
−
3
x
+
2
y
=
8
−
3
x
+
3
x
+
2
y
=
3
x
+
8
0
+
2
y
=
3
x
+
8
2
y
=
3
x
+
8
2
y
2
=
3
x
+
8
2
2
y
2
=
3
x
2
+
8
2
y
=
3
2
x
+
4
or
y
=
3
2
x
+
4
So the slope is
m
=
3
2
And the y-intercept is
b
=
4