Answer:The answer is:
k
=
2
.
Given two point,
A
(
x
a
,
y
a
)
and
B
(
x
b
,
y
b
)
the slope of the line that passes from them is:
m
=
y
b
−
y
a
x
b
−
x
a
.
So:
−
2
=
6
−
2
k
−
4
⇒
−
2
(
k
−
4
)
=
4
⇒
−
2
k
+
8
=
4
⇒
−
2
k
=
−
4
⇒
k
=
2
.
Step-by-step explanation:The answer is:
k
=
2
.
Given two point,
A
(
x
a
,
y
a
)
and
B
(
x
b
,
y
b
)
the slope of the line that passes from them is:
m
=
y
b
−
y
a
x
b
−
x
a
.
So:
−
2
=
6
−
2
k
−
4
⇒
−
2
(
k
−
4
)
=
4
⇒
−
2
k
+
8
=
4
⇒
−
2
k
=
−
4
⇒
k
=
2
.