Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

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 are the x- and y-intercepts of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

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 and there is no change in y as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs with vertical lines where x does not change, leading to division by zero in the slope formula.

Front

Calculate the slope of the line passing through the points (1, 2) and (3, 6).

Back

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

Front

Calculate the slope of the line passing through the points (2, 3) and (2, 5).

Back

Slope is undefined because the x-coordinates are the same.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.