Understanding Linear Equations and Rates

Front

What does the slope of a linear equation represent?

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

The slope of the line.

Front

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

Back

The y-intercept of the line.

Front

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

Back

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

Front

What does a positive slope indicate about a linear relationship?

Back

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

Front

What does a negative slope indicate about a linear relationship?

Back

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

Front

If a linear equation has a slope of 0, what does that mean?

Back

It means the line is horizontal, and the dependent variable does not change regardless of the independent variable.

Front

What is the meaning of the slope in the context of a real-world problem?

Back

The slope represents the rate at which one quantity changes in relation to another quantity.

Front

How can you interpret the y-intercept in a real-world context?

Back

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