How do you find the slope of the line that passes through the points (1, 2) and (3, 8)?

To find the slope of the line that passes through two points, you can use the slope formula:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, we have two points: (1, 2) and (3, 8). Let’s identify the coordinates:

• (x₁, y₁) = (1, 2)
• (x₂, y₂) = (3, 8)

Now, substituting these values into the slope formula:

m = (8 – 2) / (3 – 1)

Calculating it step by step:

• Subtract the y-coordinates: 8 – 2 = 6
• Subtract the x-coordinates: 3 – 1 = 2

Now plug these results back into the formula:

m = 6 / 2

This simplifies to:

m = 3

So, the slope of the line that passes through the points (1, 2) and (3, 8) is 3.