Slope and Slope Formula

Front

What is the slope of a line?

Back

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

Front

How do you calculate the slope using two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no rise as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is 0, leading to division by zero.

Front

If a line has a slope of 4/5, what does this mean?

Back

This means that for every 5 units the line moves horizontally (run), it moves up 4 units (rise).

Front

Find the slope of the line passing through the points (2, 3) and (5, 7).

Back

Using the formula m = (y2 - y1) / (x2 - x1), the slope is m = (7 - 3) / (5 - 2) = 4/3.

Front

What is the slope of the line represented by the equation y = -2x + 3?

Back

The slope is -2, which indicates the line falls as it moves from left to right.

Front

How can you determine if a slope is positive, negative, zero, or undefined from a graph?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a horizontal line has a slope of zero, and a vertical line has an undefined slope.