isabellasmedina isabellasmedina
  • 17-06-2022
  • Mathematics
contestada

Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.

Respuesta :

tsadkansertsu62
tsadkansertsu62 tsadkansertsu62
  • 17-06-2022

Answer:

The point-slope formula states:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

m

is the slope and

(

x

1

y

1

)

is a point the line passes through.

Substituting the slope and one of the points gives:

(

y

−

−

6

)

=

−

14

(

x

−

−

4

)

(

y

+

6

)

=

−

14

(

x

+

4

)

We can now solve for

y

to put the equation in the slope-intercept form.

y

+

6

=

−

14

x

+

(

−

14

×

4

)

y

+

6

=

−

14

x

−

56

y

+

6

−

6

=

−

14

x

−

56

−

6

y

+

0

=

−

14

x

−

62

y

=

−

14

x

−

62

Step-by-step explanation:

Work on this answer

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