Finding Slope

Front

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

Back

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

Front

In the function C(m)=2.25+0.75m, what does the slope of 0.75 indicate?

Back

The cost of the trip will increase by $0.75 for each additional mile traveled.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line has no slope?

Back

A line with no slope is vertical, meaning it does not change in the y-direction as x changes.

Front

What is the significance of the y-intercept in a linear function?

Back

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

Front

In the function H(t)=-0.25t+6, what does the y-intercept of 6 represent?

Back

It represents the initial height of the candle before any time has passed.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no change in the y-value as x changes.

Front

If the slope of a line is negative, what does that indicate about the relationship between the variables?

Back

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

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).