Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'rise over run'.

Front

How do you calculate 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 line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is zero.

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

What is the formula for finding the rate of change?

Back

Rate of change = change in y / change in x.

Front

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

Back

A slope of 0 means the line is horizontal and there is no change in y as x changes.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

How can you determine the slope from a graph?

Back

Count the rise (vertical change) and run (horizontal change) between two points on the line.