Answer: The slope is −2/3
Step-by-step explanation:
2
x
+
3
y
=
12 is the standard form for a linear equation. To determine the slope, solve the equation for y in order to convert to the slope-intercept form y
=
m
x
+
b
, where m is the slope and b is the y-intercept.
2
x
+
3
y
=
12
Subtract 2
x from both sides.
3
y
=
−
2
x
+
12
Divide both sides by
3
.
y
=
−
2
/3
x
+
12
/3
=
y
=
−
2
/3
x
+
4
The slope is
−
2
/3
