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

Front

What is the definition of constant rate of change?

Back

The constant rate of change refers to the consistent amount by which a quantity increases or decreases over a specific period of time, often represented as a slope in a linear relationship.

Tags

CCSS.HSF-LE.A.1B

Front

How do you identify the slope in a linear equation?

Back

The slope in a linear equation is the coefficient of the x variable in the slope-intercept form, represented as y = mx + b, where m is the slope.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

In a real-world context, the slope represents the rate of change between two variables, indicating how much one variable changes in relation to another.

Tags

CCSS.8.EE.B.5

Front

How can you determine the rate of change from a graph?

Back

To determine the rate of change from a graph, calculate the rise over run between two points on the line, which gives the slope.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Tags

CCSS.HSF-IF.C.7A

Front

How do you write an equation from a graph?

Back

To write an equation from a graph, identify the slope and y-intercept, then use the slope-intercept form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a linear relationship?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph, indicating a constant rate of change.

Tags

CCSS.HSF-LE.A.1B

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change from a table of values, calculate the difference in the dependent variable divided by the difference in the independent variable between two points.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

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

Back

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

Tags

CCSS.8.EE.B.5