Write an equation of the line containing the given point and parallel to the given line (6,7);x+7y=9
1 answer:
s
:
y
=
−
3
7
x
+
31
7
Explanation:
We take the line above in the form
r
:
y
=
a
x
+
b
We know that any parallel is
s
:
y
=
a
x
+
c
We choose
(
−
6
,
7
)
∈
s
7
y
=
3
−
3
x
⇒
r
:
y
=
−
3
7
x
+
3
7
s
:
7
=
−
3
7
(
−
6
)
+
c
49
=
18
+
7
c
⇒
c
=
31
7
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