Answer:
The slope of the line
y
=
−
1
2
x
−
5
is
m
1
=
−
1
2
(
y
=
m
x
+
c
)
The equation of the line passing through
(
6
,
−
4
)
is
y
−
y
1
=
m
(
x
−
x
1
)
or
y
+
4
=
m
(
x
−
6
)
. The product of
slopes of two perpendicular lines is
−
1
∴
m
⋅
m
1
=
−
1
or
m
⋅
(
−
1
2
)
=
−
1
∴
m
=
2
Therefore , the equation of the line is
y
+
4
=
2
(
x
−
6
)
or
2
x
−
y
−
16
=
0
[Ans]
Step-by-step explanation:
