Interpreting Slope and Intercepts

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change between the two variables in the equation.

Front

What is the meaning of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is zero; it represents the starting point of the relationship.

Front

How do you interpret a positive slope?

Back

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

Front

How do you interpret a negative slope?

Back

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

Front

What does a slope of zero indicate?

Back

A slope of zero indicates that there is no change in the y-value as the x-value changes; the line is horizontal.

Front

What does a vertical line represent in a graph?

Back

A vertical line represents an undefined slope, indicating that the x-value does not change.

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 can you find the slope from two points on a graph?

Back

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

Front

What does the rate of change represent in a real-world context?

Back

The rate of change represents how one quantity changes in relation to another quantity.