A line contains the points (6,8), (-2, k) and (-10, 4). What is the value of k?
2 answers:
Answer:
k = 6
Step-by-step explanation:
Step 1: Find slope <em>m</em>
m = (4 - 8)/(-10 - 6)
m = -4/-16
m = 1/4
y = 1/4x + b
Step 2: Find <em>b</em>
4 = 1/4(-10) + b
4 = -5/2 + b
b = 13/2
Step 3: Rewrite equation
y = 1/4x + 13/2
Step 4: Find <em>k</em>
y = 1/4(-2) + 13/2
y = -1/2 + 13/2
y = 12/2
y = 6
Answer: 6
Step-by-step explanation:
As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.
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