Slope

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the change in y (rise) divided by the change in x (run).

Front

What is the formula to 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 x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means the line is horizontal, indicating no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs with a vertical line, where x does not change but y does.

Front

How do you find the y-intercept of a line?

Back

The y-intercept is found by setting x = 0 in the equation of the line and solving for y.

Front

How do you find the x-intercept of a line?

Back

The x-intercept is found by setting y = 0 in the equation of the line and solving for x.

Front

What is the relationship between slope and rate of change?

Back

Slope represents the rate of change of y with respect to x in a linear relationship.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.