x and y intercepts, types of slope

Front

What is the x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (x, 0).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).

Front

In the slope-intercept form of a linear equation, what does 'y' represent?

Back

'y' represents the dependent variable in the equation, which is the output of the function.

Front

In the slope-intercept form of a linear equation, what does 'm' represent?

Back

'm' represents the slope of the line, indicating the rate of change of 'y' with respect to 'x'.

Front

In the slope-intercept form of a linear equation, what does 'b' represent?

Back

'b' represents the y-intercept of the line, the value of 'y' when 'x' is 0.

Front

What is the formula for calculating the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as 'x' increases, 'y' also increases, showing an upward trend.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as 'x' increases, 'y' decreases, showing a downward trend.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning 'y' does not change as 'x' changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning 'x' does not change as 'y' changes.