HW #2.3 - Slope in Context

Front

What is the definition of slope?

Back

The slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Tags

CCSS.8.EE.B.5

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What does 'no slope' mean?

Back

'No slope' means that the line is vertical, indicating an undefined slope because the x-value does not change.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Tags

CCSS.HSF.LE.B.5

Front

If a line has a slope of 5/2, what does this mean in context?

Back

A slope of 5/2 means that for every 2 units you move horizontally to the right, the line rises 5 units vertically.

Tags

CCSS.8.EE.B.5

Front

In the equation y = 0.5x + 10, what does the slope of 0.5 represent?

Back

The slope of 0.5 represents the per-mile fee for renting the truck, indicating that for each additional mile driven, the cost increases by $0.50.

Tags

CCSS.HSF.LE.B.5

Front

What does a slope of $2 spent per week on candy mean?

Back

It means that for each week, the amount spent on candy increases by $2.

Tags

CCSS.HSF.LE.B.5