Interpret Slope and Y-intercept

Front

What is the slope in a linear function?

Back

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

Front

What does the y-intercept represent in a linear function?

Back

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

Front

If a linear function has a slope of 2, what does this mean?

Back

For every 1 unit increase in the independent variable, the dependent variable increases by 2 units.

Front

In the equation H(t) = -0.25t + 6, what does -0.25 represent?

Back

-0.25 represents the rate at which the height of the candle decreases per hour.

Front

In the equation H(t) = -0.25t + 6, what does 6 represent?

Back

6 represents the initial height of the candle before it is lit.

Front

What is the meaning of a positive slope?

Back

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

Front

What is the meaning of a negative slope?

Back

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

Front

How do you find the y-intercept from a linear equation?

Back

Set the independent variable to zero and solve for the dependent variable.

Front

What does it mean if the y-intercept is 0?

Back

It means that the dependent variable starts at zero when the independent variable is zero.

Front

In a cost function, what does the y-intercept represent?

Back

The y-intercept represents the fixed cost when no units are produced or consumed.