Calculating Slope of a Line

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 vertical distance (rise) divided by the change in horizontal distance (run).

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

Back

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

Front

What is a zero slope?

Back

A zero slope means that there is no vertical change as the x-coordinate changes, resulting in a horizontal line.

Front

What is an undefined slope?

Back

An undefined slope occurs when a vertical line is drawn, meaning there is no horizontal change, and the slope cannot be calculated.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through (3, 4) and (3, 10).

Back

The slope is undefined because the x-coordinates are the same.

Front

Find the slope of the line that passes through (1, 2) and (4, 5).

Back

The slope is m = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What does it mean if a line has a slope of 1/2?

Back

A slope of 1/2 means that for every 2 units you move horizontally to the right, the line rises 1 unit vertically.

Front

What does it mean if a line has a slope of -1/2?

Back

A slope of -1/2 means that for every 2 units you move horizontally to the right, the line falls 1 unit vertically.