Interpreting Slope and Intercepts

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

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How do you interpret a positive slope?

Back

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

Front

How do you interpret a negative slope?

Back

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

Front

What does a slope of zero indicate?

Back

A slope of zero indicates that the dependent variable does not change as the independent variable changes.

Front

What does a vertical line represent in a graph?

Back

A vertical line represents an undefined slope and indicates that the independent variable does not change.

Front

How can you find the slope from two points on a line?

Back

The slope can be found using the formula (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept often represents a starting value or initial condition in real-world scenarios.