7.4A & 7.7A Constant Rate of Change & Linear Relationships

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine the slope from a graph?

Back

The slope can be determined by finding the rise over run between two points on the line. It is calculated as (change in y) / (change in x).

Tags

CCSS.8.EE.B.5

Front

What does a slope of 0 indicate about a line?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

How can you identify a linear relationship from a table of values?

Back

A linear relationship can be identified if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change in real-world applications, such as speed, cost per item, or any quantity that changes at a constant rate.

Tags

CCSS.8.EE.B.5

Front

How do you write an equation from a given slope and y-intercept?

Back

To write an equation from a given slope (m) and y-intercept (b), use the slope-intercept form: y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) between two points is m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5