6k + 2 = 8 (What is value of K?)
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Answer:
Step-by-step explanation:
We want to write the equation of a line that passes through (5, 6) and (-1, 4).
First, let's find our slope. We can use the slope formula:
Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:
Subtract:
Reduce:
So, our slope is 1/3.
Now, we can use the point-slope form, which is:
For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:
Distribute:
Add 6 to both sides:
Add:
And we're done!