Graphing Techniques and Concepts

This lesson demonstrates how to create art by graphing linear equations with domain restrictions in slope-intercept form. The video shows the process of graphing 40 equations to form artwork, explains how to customize the graph's appearance, and suggests student activities. It also highlights patterns in the equations and offers alternative methods for students unfamiliar with graphing.

What is the slope-intercept form of a linear equation?

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

• y = mx^2 + b

How many linear equations were used to create the artwork?

• 30

• 20

• 40

• 50

What happens when you click on the wrench and select reverse mode?

• The coordinate plane disappears

• The coordinate plane turns black and line segments turn white

• The coordinate plane turns white and line segments turn black

• The line segments disappear

What can you do by clicking and holding on the circles on the far left?

• Change the shape of the line segments

• Change the thickness of the line segments

• Change the color of the line segments

• Change the length of the line segments

Where are the domain restrictions indicated in the equations?

• In square brackets

• In angle brackets

• In parentheses

• In curly brackets

What is recommended to prevent students from using patterns in the artwork?

• Provide a different set of equations

• Scramble the order of the equations

• Use a different graphing tool

• Remove the domain restrictions

What is the purpose of using domain restrictions in graphing?

• To change the intercept of the line

• To change the slope of the line

• To limit the range of x-values

• To limit the range of y-values

What is the benefit of scrambling the order of equations for students?

• It makes the task easier

• It helps students focus on the pattern

• It encourages students to use the slope-intercept form

• It allows students to skip graphing

What should students be given if they don't know how to graph lines?

• The equations only

• The domain restrictions only

• The endpoints on the coordinate plane

• The slope and intercept values

What is the design size when using endpoints to create line segments?

• 6 by 6

• 10 by 10

• 5 by 5

• 8 by 8