Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(-3, 4), 3y = 2x - 3

Use the given slope and point to substitute into the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
y
-
y
1
=
m
(
x
-
x
1
)
.
Slope-intercept form:
y
=
−
6
x
−
14
y
=
-
6
x
-
14
Point-slope form:
y
−
4
=
2
⋅
−
3
⋅
(
x
+
3
)