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write an equation of the line in a slope intercept form of a line that passes through (5,7) and (4,4)

Respuesta :

hbj

Answer:

y = 3x - 8

Step-by-step explanation:

passes through (5, 7) and (4, 4)

Find slope:

(7 - 4) / (5 - 4)

= 3/1

= 3

This is your slope.

Now plug in a set of coordinates.

y = 3x + b

7 = 3(5) + b

7 = 15 + b

b = -8

Your equation is: y = 3x - 8

Check your work by plugging in the second coordinate pair.

y = 3x - 8

4 = 3(4) - 8

4 = 12 - 8

4 = 4

Your solution is correct.