Question

Write an equation of the line containing the given point and parallel to the given line (6,7);x+7y=9

Answer 1

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

hope this Help :)