M8 Interpret Slope and Y-intercept

Front

What does the slope of a line represent in a graph?

Back

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

Front

What is the y-intercept of a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

If a graph shows a constant slope, what does that indicate?

Back

It indicates a constant rate of change between the two variables.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about the relationship between two variables?

Back

A positive slope indicates that as one variable increases, the other variable also increases.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

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

Back

The y-intercept often represents the starting value or initial condition of a situation.

Front

In the equation of a line (y = mx + b), what does 'm' represent?

Back

In the equation, 'm' represents the slope of the line.

Front

In the equation of a line (y = mx + b), what does 'b' represent?

Back

In the equation, 'b' represents the y-intercept of the line.

Front

How does changing the slope of a line affect its steepness?

Back

A larger absolute value of the slope results in a steeper line, while a smaller absolute value results in a flatter line.