A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?

k = 6

Step-by-step explanation:

Step 1: Find slope m

m = (4 - 8)/(-10 - 6)

m = -4/-16

m = 1/4

y = 1/4x + b

Step 2: Find b

4 = 1/4(-10) + b

4 = -5/2 + b

b = 13/2

Step 3: Rewrite equation

y = 1/4x + 13/2

Step 4: Find k

y = 1/4(-2) + 13/2

y = -1/2 + 13/2

y = 12/2

y = 6

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step-by-step explanation:

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step-by-step