Answer: 1/12
Explanation:
the answer is actually 1/12 not -1/12
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
4
−
(
−
7
2
)
4
−
(
−
2
)
Simplify.
Simplify the numerator.
m
=
−
1
2
4
−
(
−
2
)
Simplify the denominator.
m
=
−
1
2
6
Multiply the numerator by the reciprocal of the denominator.
m
=
−
1
2
⋅
1
6
Multiply
−
1
2
⋅
1
6
.
m
=
−
1
12