Interpreting COP & Finding Slope

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It represents how much one quantity changes in relation to another.

Tags

CCSS.7.RP.A.2B

Front

How do you find the slope of a line?

Back

The slope of a line is found by calculating the 'rise' over the 'run', which is the change in the y-values divided by the change in the x-values between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 1/2 represent in a real-world context?

Back

A slope of 1/2 means that for every 2 units you move horizontally (run), you move 1 unit vertically (rise). This could represent a rate, such as 1 mile driven for every $2 earned.

Tags

CCSS.8.EE.B.5

Front

What does it mean if a graph has a constant slope?

Back

A constant slope indicates a linear relationship between the two variables, meaning that as one variable increases or decreases, the other variable does so at a consistent rate.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-axis in a graph?

Back

The y-axis typically represents the dependent variable in a graph, showing how it changes in response to the independent variable represented on the x-axis.

Front

If Taylor can write 25 words per minute, what is the relationship between time and words written?

Back

The relationship is linear; for every minute that passes, Taylor writes 25 words, indicating a constant rate of writing.

Tags

CCSS.HSF-LE.A.1B

Front

How can you interpret a graph that shows rainfall over time?

Back

You can determine the rate of rainfall by examining the slope of the line on the graph, which indicates how much rain fell per unit of time.

Tags

CCSS.8.EE.B.5

Front

What does a slope of 2 cm per hour indicate about rainfall?

Back

It indicates that for every hour, 2 centimeters of rain falls, showing a direct relationship between time and rainfall amount.

Tags

CCSS.8.EE.B.5

Front

What is the formula for calculating slope?

Back

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean if the slope of a graph is negative?

Back

A negative slope indicates that as one variable increases, the other variable decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5