Exploring Linear Relationships

The video tutorial covers the concept of slope-intercept form, explaining its components: slope and y-intercept. It then applies this knowledge to compare different scenarios, including the speeds of runners, travel rates of families, savings rates, and skydiving descent rates. Each example uses slope to determine which subject is faster or more efficient in their respective context.

In the slope-intercept form equation y = mx + b, what does 'm' represent?

• The constant term

• The y-intercept

• The slope or rate of change

• The x-intercept

Tags

CCSS.8.EE.B.5

What is the slope of the line represented by the equation y = 9.5x?

• 1

• 0

• 9.5

• 18.5

Tags

CCSS.8.EE.B.5

Which runner is traveling at a greater speed if Runner 1 has a slope of 9.25 and Runner 2 has a slope of 9.5?

• Both are traveling at the same speed

• Runner 2

• Runner 1

• Cannot be determined

Tags

CCSS.8.EE.B.5

If the Smith family travels at 58 miles per hour, what is their slope in the slope-intercept form?

• 100

• 0

• 58

• 1

Tags

CCSS.8.EE.B.5

Which family is traveling at a greater speed if the Smith family has a slope of 58 and the Johnson family has a slope of 50?

• Smith family

• Cannot be determined

• Johnson family

• Both are traveling at the same speed

Tags

CCSS.8.EE.B.5

If Bennett saves $48 every week, what is his slope in the slope-intercept form?

• 1

• 50

• 0

• 48

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who is saving money at a greater rate if Bennett saves $48 per week and Jared saves $50 per week?

• Bennett

• Jared

• Cannot be determined

• Both are saving at the same rate

Tags

CCSS.8.EE.B.5

What is the slope of Lauren's elevation equation y = 13000 - 172x?

• 0

• -172

• 13000

• 172

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who is descending faster if Lauren's slope is -172 and Sean's slope is -175?

• Lauren

• Sean

• Cannot be determined

• Both are descending at the same rate

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What does the 'b' represent in the slope-intercept form equation y = mx + b?

• The x-intercept

• The constant term

• The y-intercept or starting value

• The slope

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3