Adult education teacher Carol Cashion created this Desmos lesson to presents a series of activities using tables, equations, graphs and student observations to build a conceptual understanding of the features of a linear function: slope and y-intercept.

Students will have opportunities to:

• Use a function equation to identify points on the graph of that equation
• Analyze and compare the graphs of lines with the same slope and different y-intercepts
• Graph equations starting with the y-intercept
• Build definitions of y-intercept and slope from student observations
• Analyze and compare the graphs of lines with different slopes
• Identify the slope of a line from a graph
• Connect understanding of slope to rise over run
• Connect understandings of slope and y-intercept to y=mx+b form

Here are a few sample screens: