Finding y-Intercepts and Unit Rates from Graphs

This video tutorial covers the concepts of slope and y-intercept, explaining their definitions and significance in graphing. It demonstrates how to calculate slope using graphs and provides examples of unit rate calculations in various contexts, such as plant growth, milk production, and calorie burning. The tutorial also delves into understanding the y-intercept, its role as a starting point in equations, and how to identify it on a graph.

What is the y-intercept in a graph?

• The point where the line crosses the y-axis

• The steepness of the line

• The rate of change

• The point where the line crosses the x-axis

Which of the following is NOT a definition of slope?

• Rate of change

• Steepness of a line

• Starting point

• Rise over run

If a plant's height increases by 4 inches every 3 weeks, what is the unit rate?

• 2 inches per week

• 3/4 inches per week

• 1 inch per week

• 4/3 inches per week

How do you find the slope using the slope formula?

• y2 - y1 over x2 - x1

• x2 - x1 over y2 - y1

• y1 - y2 over x1 - x2

• x1 - x2 over y1 - y2

What is the unit rate if 88 calories are burned in 8 minutes?

• 10 calories per minute

• 9 calories per minute

• 12 calories per minute

• 11 calories per minute

If a friend repays $20 every week, how much will she have repaid after 6 weeks?

• $140

• $120

• $80

• $100

What does the y-intercept represent in a graph showing snow accumulation?

• The total amount of snow after the storm

• The time it takes for snow to start accumulating

• The amount of snow at the start of the storm

• The rate at which snow accumulates

If a line crosses the y-axis at 4, what is the y-intercept?

• 4

• 0

• -4

• 1

What is the slope if a line rises 1 unit for every 2 units it runs?

• 1/2

• 2

• 1

• 2/1

If a graph shows a slope of 1/2, what does it mean in the context of snow accumulation?

• Snow is decreasing by 1 inch every 2 hours

• Snow is increasing by 1 inch every 2 hours

• Snow is increasing by 1/2 inch every hour

• Snow is decreasing by 1/2 inch every hour