Interpret 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 relationship between two variables in a real-world scenario.

Front

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

Back

'm' represents the slope of the line, indicating how much y changes for a unit change in x.

Front

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

Back

'b' represents the y-intercept, which is the value of y when x is 0.

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.

Front

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

Back

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

Front

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

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

How can you interpret the slope in the context of a graph showing distance vs. time?

Back

The slope represents the speed or rate of travel.

Front

In the context of a graph, what does the y-intercept tell you?

Back

The y-intercept indicates the starting value of y when x is zero.

Front

If a graph shows that a sloth runs 6 feet in 1 minute, what is the slope of the graph?

Back

The slope is 6 feet per minute.

Front

What does the slope of a graph representing gasoline consumption per km driven indicate?

Back

The slope indicates the amount of gasoline consumed per kilometer driven.