Y intercept notation and graphing from tables

Linear Functions: Graphing & Tables

Included:

Scaffolded learning objectives and success criteria
Complete answer key
Identifying slope and y-intercept from equations, graphs, and tables
Understanding slope-intercept form
Calculating slope using rise over run and change in y over change in x
Connecting tables, graphs, and equations
Step-by-step worked examples for graphing from an equation
Writing linear equations from tables of values
Fluency and skills practice
Real-world application involving a streaming service and monthly costs
Reverse-engineering challenge requiring students to determine an equation from a graph
Practice interpreting slope and y-intercept in context

Description:

Help students build a strong understanding of linear functions by connecting equations, tables, and graphs.

The resource begins by developing student understanding of slope and y-intercept, including how to identify each from an equation and graph. Students also learn how to calculate slope using rise over run and how the y-intercept represents the value of y when x = 0.

Students then learn how to connect a table of values to its corresponding graph, recognizing that the pattern in the table represents the slope of the line. Step-by-step examples show students how to graph a linear equation using its slope and y-intercept, as well as how to work backwards and construct an equation from a table.

The practice section reinforces these skills through slope calculations, identifying the components of an equation, sketching graphs, and converting tables into equations. Students then apply their knowledge to a real-world streaming-service scenario involving a starting fee and monthly cost.

The final challenge asks students to reverse-engineer a linear equation directly from a graph, identifying the y-intercept and slope before constructing and verifying the equation.