Module 2 Topic 1

Front

What is the formula for calculating the slope between two points?

Back

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

Tags

CCSS.8.EE.B.5

Front

How do you calculate the average rate of change between two points?

Back

The average rate of change is calculated by finding the difference in the y-values divided by the difference in the x-values between the two points.

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change of one variable with respect to another, indicating how much one variable changes for a unit change in another variable.

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the function on the y-axis.

Tags

CCSS.HSF.LE.B.5

Front

What is the significance of a positive slope in a graph?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Tags

CCSS.8.EE.B.5

Front

What does it mean for a function to increase over its entire domain?

Back

It means that for any two points in the domain, if the first point has a smaller x-value than the second, the corresponding y-value of the first point is less than that of the second.

Front

How can you determine if a function is linear from its graph?

Back

A function is linear if its graph forms a straight line, indicating a constant rate of change.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

What is the relationship between the slope and the steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line; a slope of 0 indicates a horizontal line, while an undefined slope indicates a vertical line.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 indicate about a function?

Back

A slope of 0 indicates that the function is constant, meaning there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

How do you interpret the average rate of change in a real-world scenario?

Back

The average rate of change can be interpreted as the overall change in a quantity over a specific interval, such as speed or growth rate.

Tags

CCSS.HSF.IF.B.6

CCSS.8.F.B.4