Hmk 51GG - Interpreting Slope and Y-Intercept

Front

What does the slope represent in a linear equation?

Back

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

Front

What is the y-intercept in a linear equation?

Back

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

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

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

Back

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

Front

What does a slope of zero mean in a linear relationship?

Back

A slope of zero means that there is no change in the dependent variable as the independent variable changes; the line is horizontal.

Front

What does a vertical line indicate about the slope?

Back

A vertical line has an undefined slope, indicating that the independent variable does not change.

Front

In the context of a graph, what does the steepness of the slope indicate?

Back

The steeper the slope, the greater the rate of change between the variables.

Front

How can you interpret a slope of 2 in a real-world context?

Back

A slope of 2 means that for every unit increase in the independent variable, the dependent variable increases by 2 units.

Front

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

Back

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