Graphing Linear Equations and Function Tables

The video tutorial covers graphing linear equations and working with function tables. It begins with basic graphing techniques, focusing on identifying the y-intercept and plotting points using the slope. The tutorial progresses to more advanced graphing methods, including handling negative slopes and complex function evaluations. The instructor explains how to interpret function tables, calculate outputs from given inputs, and understand the relationship between x and y in linear equations. The video concludes with practical examples and encourages students to practice independently.

Where do we always start when graphing a linear equation?

• At any random point

• At the y-intercept

• At the origin

• At the x-intercept

If you move up 2 units and right 3 units from a point, what is the slope?

• 2/3

• 3/2

• 1/2

• 2

What is the equivalent of 2/3 in terms of negative fractions?

• -2/3

• -2/-3

• 2/-3

• -3/2

In a function table, what is the output if the input is 1 and the function is -2x?

• 1

• 2

• -2

• -1

What is the output when the input is 4 for the function -2x?

• 4

• -4

• 8

• -8

If a graph starts at (0,0) and has no 'b' in y=mx+b, what is the y-intercept?

• 1

• 0

• -1

• Undefined

What is the slope of the function y = -2x?

• 1

• -1

• 2

• -2

What is the output for the function (1/2)x - 4 when x = 10?

• 5

• 4

• 1

• -1

For the function (1/2)x - 4, what is the output when x = -2?

• 1

• 5

• -5

• -1

How do you treat the fraction -3/2 in the function -3/2x?

• As -2/3

• As 2/-3

• As -3/2 or 3/-2

• As 3/2