How do you calculate the slope of a line?

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To calculate the slope of a line, you need to know the coordinates of two points on that line. Let's say we have two points, (x₁, y₁) and (x₂, y₂).

The formula for calculating the slope (m) of a line is:

m = (y₂ - y₁) / (x₂ - x₁)

First, you need to determine the coordinates of the two points on the line. Let's say we have the points A(2, 3) and B(5, 7).

Step 1: Identify the values of x₁, y₁, x₂, and y₂:
x₁ = 2
y₁ = 3
x₂ = 5
y₂ = 7

Step 2: Substitute the values into the slope formula:
m = (7 - 3) / (5 - 2)

Step 3: Simplify the equation:
m = 4 / 3

The slope of the line passing through points A(2, 3) and B(5, 7) is 4/3.

Remember, the slope represents the steepness of the line. A positive slope indicates an upward line, while a negative slope indicates a downward line.