How do you calculate the slope of the line that passes through the points (2, 5) and (1, 4)?

The slope of a line is a measure of its steepness and is calculated using the formula:

Slope (m) = (y₂ – y₁) / (x₂ – x₁)

In this case, we have two points: (2, 5) and (1, 4).

We can assign:

• (x₁, y₁) = (2, 5)
• (x₂, y₂) = (1, 4)

Now, plug the values into the slope formula:

m = (4 – 5) / (1 – 2)

Calculating this step-by-step:

• Subtract the y-values: 4 – 5 = -1
• Subtract the x-values: 1 – 2 = -1

Now substitute back into the formula:

m = -1 / -1

When we divide -1 by -1, we get:

m = 1

So, the slope of the line that passes through the points (2, 5) and (1, 4) is 1.

This means that for every unit the line moves horizontally to the right, it moves one unit up, indicating a positive slope and a line that rises as it moves from left to right.