Finding the Slope of a Linear Function from a Graph

Mathematical Steps	Explanation
Identify Two Points	Pick two distinct points on the line in the graph. The more accurate these points are, the more accurate your slope calculation will be.
Note the Coordinates	Write down the coordinates of these two points. Let the coordinates of the first point be (x₁, y₁) and the second point be (x₂, y₂).
Calculate Δy = y₂ – y₁	Subtract the y-coordinate of the first point from the y-coordinate of the second point to find the change in y, denoted as Δy.
Calculate Δx = x₂ – x₁	Subtract the x-coordinate of the first point from the x-coordinate of the second point to find the change in x, denoted as Δx.
Calculate Slope (m) = Δy / Δx	Divide the change in y by the change in x to find the slope. The formula for slope is m = Δy / Δx.
Interpret the Slope	The slope tells you how steep the line is. A positive slope means the line rises as you move from left to right. A negative slope means it falls. A zero slope means the line is horizontal, and an undefined slope means the line is vertical.

Final Thoughts

By following these steps, you can easily find the slope of a linear function from a graph. The slope is a crucial element in understanding the behavior of the line.