How do you find the slope of the line that connects the points (3, 4) and (2, 1)?

To find the slope of a line that passes through two points, we use the formula:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In our case, the two points are (3, 4) and (2, 1). We will assign:

• Point 1 (x₁, y₁) = (3, 4)
• Point 2 (x₂, y₂) = (2, 1)

Now, we can substitute these values into the slope formula:

m = (1 – 4) / (2 – 3)

This simplifies to:

m = (-3) / (-1)

When we do the division:

m = 3

So, the slope of the line that passes through the points (3, 4) and (2, 1) is 3. This means that for every 1 unit the line moves horizontal (to the left), it moves 3 units up. By understanding this slope, we can better visualize how steep the line is on a graph.