# How to Find Slope

Finding the slope of a line is a fundamental concept in algebra and geometry. The slope measures the steepness or incline of a line. It’s calculated as the ratio of the change in the vertical direction (y-coordinates) to the change in the horizontal direction (x-coordinates) between two points on the line.

Here’s how to find the slope:

Step 1: Select Two Points on the Line

• Choose any two points on the line. Label these points as (x₁, y₁) and (x₂, y₂).

Step 2: Calculate the Change in Y (Δy)

• Subtract the y-coordinate of the first point from the y-coordinate of the second point: Δ�=�2−�1Δy=y2​−y1​

Step 3: Calculate the Change in X (Δx)

• Subtract the x-coordinate of the first point from the x-coordinate of the second point: Δ�=�2−�1Δx=x2​−x1​

Step 4: Find the Slope (m)

• Divide the change in y by the change in x: �=Δ�Δ�mxΔy

This gives you the slope of the line.

Example:

Suppose you have two points on a line: �(2,3)A(2,3) and �(5,9)B(5,9).

1. Calculate Δy: Δ�=�2−�1=9−3=6Δy=y2​−y1​=9−3=6
2. Calculate Δx: Δ�=�2−�1=5−2=3Δx=x2​−x1​=5−2=3
3. Find the Slope (m): �=Δ�Δ�=63=2mxΔy​=36​=2

So, the slope of the line passing through points A and B is �=2m=2.