Complete each section to show your understanding for linear patterns.

## Tables

The following tables represent linear patterns. The tables are created using *Desmos.com.*

- Find the missing values in each table.
- Graph each table on an \(x\)
*-\(y\)*coordinate plane. - Calculate the slope using the table.
- Calculate the slope using the graph.
- Determine the point of the \(y\)
*–*intercept - Write an equation to determine the \(y\)
*–*value given any \(x\)-value.

## Patterns

Given the growth pattern shown in Figure 2 and Figure 4.

- Draw Figure 3.
- Explain the growth pattern.
- Determine the number of squares in Figure 0.
- Write the equation to represent the number of squares for any figure.
- Using the context of growth patterns, explain why \(m\) represents the slope and \(b\) represents the \(y\)-intercept in the
*slope-intercept*formula \(y=mx+b\).

A given linear pattern has 10 squares in Step 3. The pattern grows by -4 squares every 2 steps.

- Create a table for this pattern.
- Calculate the slope to represent the growth for this pattern.
- Calculate the equation to calculate the number of squares for each step.