Exploring Linear Functions in Math 8

This video tutorial covers the concept of linear functions, explaining their importance and how they are used in various contexts. It begins with an introduction to linear functions and their representation as non-vertical lines. The tutorial then demonstrates how to write linear functions using graphs and tables, emphasizing the slope-intercept form. Practical examples, such as UAV descent and wage comparison, are used to illustrate the application of linear functions. The video also provides guidance on interpreting slopes and intercepts in real-world scenarios.

What is the standard form for writing linear functions?

• ax + by = c

• y = mx + b

• mx - by = 0

• y = mx + c

How is the slope of a line going up three and right two represented?

• -3/2

• 3/2

• -2/3

• 2/3

What formula is used to calculate the slope when given a table?

• y2 - y1 + x2 - x1

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• x2 + x1 / y2 + y1

What is the slope of a line that represents constant earnings over time?

• 1

• 0

• Undefined

• -1

What does a slope of 0 indicate about a linear function?

• The function is decreasing

• The function is undefined

• The function is increasing

• The function has no change

What does a slope of -2 indicate in a real-world scenario?

• Decrease by 2 units for every 1 unit increase in x

• Increase by 2 units for every 1 unit increase in x

• Increase by 1 unit for every 2 units increase in x

• Decrease by 1 unit for every 2 units increase in x

How do you determine which employee has a higher hourly wage?

• By comparing their x-intercepts

• By comparing their y-intercepts

• By comparing their slopes

• By comparing the number of hours worked

What does the y-intercept represent in the context of UAV height?

• The maximum height reached

• The height at which descent begins

• The rate of descent

• The time taken for the descent

How can you graph a linear function accurately?

• By guessing the slope

• By using different scales on each axis

• By only plotting the y-intercept

• By ensuring both axes have the same scale

At what point does the daytime employee start earning more than the nighttime employee?

• After 6 hours

• After 1 hour

• After 3 hours

• They always earn more