Determine the equation of the line that passes through the given points. (3,18) and (8,33)

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (3, 18) and (8, 33).

First, let’s determine the slope. We can use the slope formula:

We will let (3, 18) be (x₁, y₁) and (8, 33) be (x₂, y₂). Then it follows that:

Hence, the slope is 3.

Now, we can use the point-slope form:

We will substitute 3. for m. We can use either of the two points for (x₁, y₁) but let’s let (3, 18) be (x₁, y₁) for consistency. Thus:

Then it follows that:

Therefore, our equation is:

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