Writing Linear Equations from Patterns

This video tutorial teaches how to write linear equations from patterns by identifying the rate of change and initial value. It connects new concepts to prior knowledge, uses color coding for clarity, and provides practice exercises for application.

What is the main focus of the video tutorial?

• Graphing linear equations

• Understanding calculus concepts

• Writing linear equations from patterns

• Solving quadratic equations

What should you start with when writing an equation from a table?

• y equals

• a equals

• x equals

• z equals

What does the term 'rate of change' refer to in the context of linear equations?

• The initial value

• The slope of the line

• The x-intercept

• The y-intercept

What color is used to represent the initial value in the color coding method?

• Yellow

• Blue

• Green

• Red

What is the equation for a series of shapes with a rate of change of 3 and an initial value of 3?

• y = 3x + 2

• y = 3x + 3

• y = 2x + 2

• y = 2x + 3

How can you quickly find the number of pieces in figure 100 using an equation?

• Count each piece manually

• Use the equation to substitute the figure number for x

• Draw the figure and count

• Estimate based on previous figures