If you know 2 points on a graph, you can find the slope, 

, of the graph’s linear function by taking the change in 

How Do You Find the Slope of a Linear Function When You Know Two Points?

A type of function that can be written in the form 

, where m is the slope of the curve and b is the y-intercept. The graph of a linear function is always a straight line.

The ratio between the change in y coordinates and the change in x coordinates (rise over run). It describes the steepness of a line.

Every point in the coordinate system has coordinates of the form 

. The first coordinate tells you where the point is along the 

-axis, and the second coordinate tells you where the point is placed along the 

Change in x coordinates, also referred to as the 

Change in y coordinates, also referred to as the 

. By plotting these in a coordinate system you can visualize the relationship between the input, 

, of the function. This is what we mean by drawing a graph.

Mathagon

Definition

Slope m and y-Intercept b

Draw the Graph

Finding the Slope, m

Finding the y-Intercept, b

Linear Functions

If you know 2 points on a graph, you can find the slope, m, of the graph’s linear function by taking the change in y over the change in x. This video explains. 