Answer:
A.
−3/4
Step-by-step explanation:
In this problem we must first find the slope of the given line. Also note that parallel lines have the same slope.
We have 2 options:
1) Manipulate this equation from standard form to slope intercept form,
y
=
m
x
+
b
, where m is the slope.
2) The slope can be found using the following expression, −
A
/B
, when the equation is standard form.
OPTION 1:
3
x
+
4
y
=
12
4
y=
12
−
3
x
4
y
/4
=
12/
4
−
3
x/
4
y
=
3
−
3
x
4
y
=
−
3/
4
x+
3
→
s
l
o
p
e
=
−
3/
4
OPTION 2:
A
x
+
B
y
=
C
3
x
+
4
y
=
12
s
l
o
p
e
=
−
A/
B
=
−
3
/4
A line parallel to 3
x
+
4
y
=
12 must have a slope of −
3/
4
.
