Respuesta :

Answer:

B is the correct answer

Step-by-step explanation:

1. Find the slope

(3,8) (6,2)

[tex]\frac{2-8}{6-3} = \frac{-6}{3} = -2[/tex]

2. See which answers have -2, this narrows down the answers to B. and C.

3. get the y alone for B and C

B: y -  8 = -2 (x - 3)

Using distributing properties it turns into y - 8 = -2x + 6

Then you add 8 to six to get alone so it turns to be y = -2x + 14

C: Doing the same process for it turns you with y = -2x - 14

4. Plug your points into each equation to see which one is the right answer

C. y = -2x - 14

(3,8)

8 = -2(3) - 14

8 = -6 - 14

8 = -20 X

C is wrong

B: y = -2x + 14

(3,8)

8 = -2(2) + 14

8 = -6 + 14

8 = 8 ✔

(6,2)

2 = -2(6) + 14

2= -12 + 14

2 = 2 ✔

Conclusion: B is the right answer