Slope Applications

Front

What does the y-intercept represent in a graph?

Back

The y-intercept represents the initial value of the dependent variable when the independent variable is zero.

Front

What does the slope of a graph indicate?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.

Front

How do you calculate the slope between two points?

Back

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

Front

What does a negative slope indicate about a graph?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.

Front

What does a positive slope indicate about a graph?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What is the meaning of the y-intercept in a real-world context?

Back

In a real-world context, the y-intercept can represent the starting point or initial condition of a situation.

Front

If a graph shows gas usage over miles, what does a slope of 1/20 mean?

Back

It means that the vehicle uses 1/20 of a gallon of gas for every mile driven.

Front

What does it mean if the slope of a candle's height graph is -1/10?

Back

It means the candle decreases in height by 1/10 of an inch every minute.

Front

How can you interpret the average rate of change in a real-world scenario?

Back

The average rate of change represents how much one quantity changes on average for each unit of change in another quantity.

Front

What is the formula for average rate of change?

Back

Average Rate of Change = (change in y) / (change in x).