Understanding Graphs and Intercepts

This video tutorial covers Math 8 Unit 3 Lesson 6, focusing on linear relationships, vertical intercepts, and graph interpretation. It includes activities on pattern recognition with colored tiles, understanding slopes and graphs, analyzing a reading assignment graph, and graphing a savings account. The tutorial concludes with an explanation of homework problems related to slopes and intercepts.

What is the pattern rule for the yellow tiles in the sequence?

• Add 2 each time

• Subtract 1 each time

• Square the position number

• Multiply by 3 each time

In the context of the lesson, what is a vertical intercept?

• The slope of the line

• The point where a line crosses the y-axis

• The midpoint of the line

• The point where a line crosses the x-axis

What mistake did Lynn make in her reading graph?

• She used the wrong book

• She read more pages than planned

• She started tracking from the wrong page number

• She forgot to read on some days

What does the vertical intercept represent in the savings account graph?

• The total amount saved over time

• The final amount in the account

• The initial amount in the account

• The interest rate

What is the slope of the line representing the perimeter of an equilateral triangle with side length x?

• 3

• 4

• 2

• 1

In the cash box scenario, what does the slope of 4 represent?

• 4 tickets in total

• 4 dollars in total

• 4 tickets per dollar

• 4 dollars per ticket

What does the vertical intercept of 8 in the cash box scenario indicate?

• The starting amount in the cash box

• The total amount after selling tickets

• The price of each ticket

• The number of tickets sold

In the gym membership scenario, what does the slope of the line indicate?

• The membership fee

• The number of classes attended

• The cost per class

• The total cost

What does the vertical intercept of 60 in the gym membership graph represent?

• The cost per class

• The total cost

• The membership fee

• The number of classes attended

In the context of the homework, what does a slope of 5/4 indicate in the chapters read scenario?

• 5 chapters read every 4 days

• 4 chapters read every 5 days

• 4 chapters read every day

• 5 chapters read every day