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 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

What is the significance of the y-intercept in a real-world scenario?

Back

The y-intercept indicates the starting value of the dependent variable when the independent variable is zero.

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 for renting the truck.

Front

In the equation y = 375 + 125x, what does the slope of 125 represent?

Back

The slope of 125 represents the amount earned for each air conditioner sold.

Front

How do you interpret a negative slope in a real-world context?

Back

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

Front

What does a y-intercept of $1500 in a salary equation indicate?

Back

It indicates the base salary before any commissions or additional earnings.

Front

If the slope of a graph represents gasoline consumption, what does a slope of 0.1 mean?

Back

It means that 0.1 liters of gasoline are consumed for every kilometer driven.

Front

What is the relationship between slope and rate of change?

Back

The slope is a numerical representation of the rate of change between two variables.