Interpreting Slope and Y-intercept

Front

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

Back

The slope represents the rate of change or the cost per unit in a real-world scenario.

Tags

CCSS.8.EE.B.5

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept of a linear equation indicate in a real-world scenario?

Back

The y-intercept indicates the starting value or fixed cost when the independent variable is zero.

Tags

CCSS.HSF.LE.B.5

Front

If a moving truck rental costs $10 per day plus $0.50 per mile, what is the slope of the cost equation?

Back

The slope is $0.50, representing the per-mile fee.

Tags

CCSS.HSF.LE.B.5

Front

If a gym membership costs $10 per month plus $3 per visit, what does the y-intercept represent?

Back

The y-intercept is $10, representing the monthly fee.

Tags

CCSS.HSF.LE.B.5

Front

How do you find the slope from a graph?

Back

The slope is found by calculating the rise over run between two points on the line.

Tags

CCSS.8.EE.B.5

Front

What does a negative slope indicate about a relationship between two variables?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a relationship between two variables?

Back

A positive slope indicates a direct relationship; as one variable increases, the other also increases.

Tags

CCSS.8.EE.B.5

Front

In the context of a burning candle, what does the slope of the height vs. time graph represent?

Back

The slope represents the rate at which the candle height decreases over time.