Question

Find the slope of the line passing through the points (-9, -6) and (-4, 5).

Answer 1

Answer:

11/5

Step-by-step explanation:

because I said so bro trust me

Answer 2

Answer:

y

=

−

4

7

x

+

8

7

or

4

x

+

7

y

=

8

Step-by-step explanation:

im not sure lol but heres the steps

The first step is the calculate the slope:

If the two points are

(

x

1

,

y

1

)

and

(

x

2

,

y

2

)

, then

m

=

y

2

−

y

1

x

2

−

x

1

⇒

m

=

−

4

−

4

9

−

(

−

5

)

⇒

m

=

−

4

−

4

9

+

5

⇒

m

=

−

8

14

⇒

m

=

−

4

7

So we now know a bit of the equation:

y

=

−

4

7

x

+

c

To find

c

, substitute in the values for

x

and

y

from any one of the two points, so using

(

−

5

,

4

)

(

4

)

=

−

4

7

(

−

5

)

+

c

And solve for c

⇒

4

=

−

4

⋅

−

5

7

+

c

⇒

4

=

20

7

+

c

⇒

4

−

20

7

=

c

⇒

4

⋅

7

7

−

20

7

=

c

⇒

28

7

−

20

7

=

c

⇒

8

7

=

c

Then put in

c

and you get:

y

=

−

4

7

x

+

8

7

If you want, you can rearrange this into the general form:

⇒

y

=

1

7

(

−

4

x

+

8

)

⇒

7

y

=

−

4

x

+

8

4

x

+

7

y

=

8

And your graph would look like:

graph{4x+7y=8 [-18.58, 21.42, -9.56, 10.44]}