Slope & Slope Formula

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

What is the slope formula?

Back

The slope formula is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does 'm' represent in the slope formula?

Back

'm' represents the slope of the line.

Front

How do you find the slope between two points (2, 1) and (8, 9)?

Back

Using the slope formula: m = (9 - 1) / (8 - 2) = 8 / 6 = 4/3.

Front

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

Back

Using the slope formula: m = (-5 - (-1)) / (-2 - (-4)) = -4 / 2 = -2.

Front

What is a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in y as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs with vertical lines where there is no change in x, resulting in division by zero.

Front

If a line has a slope of 4/3, what does this mean?

Back

This means that for every 3 units the line moves horizontally (run), it moves 4 units vertically (rise).