Interpreting Slope and Y-intercept

Front

What is the meaning of the y-intercept?

Back

The y-intercept is the value of y when x is 0, representing the starting point of a linear relationship.

Front

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

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

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

If a line has a positive slope, what does that indicate about the relationship between x and y?

Back

A positive slope indicates that as x increases, y also increases.

Front

If a line has a negative slope, what does that indicate about the relationship between x and y?

Back

A negative slope indicates that as x increases, y decreases.

Front

What does a slope of 0 mean in a linear equation?

Back

A slope of 0 means that the line is horizontal, indicating that y does not change as x changes.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope means the line is vertical, indicating that x does not change as y changes.

Front

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

Back

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

Front

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

Back

The slope can represent rates of change, such as speed, cost per item, or consumption rates.