Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the rise (vertical change) to the run (horizontal change).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What is the slope of a line that rises from left to right?

Back

Positive slope

Front

What is the slope of a line that falls from left to right?

Back

Negative slope

Front

What is the slope of a horizontal line?

Back

Zero slope

Front

What is the slope of a vertical line?

Back

Undefined slope

Front

If a line has a slope of 2, what does this mean?

Back

For every 2 units the line rises, it runs 1 unit to the right.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

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

Front

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

Back

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

Front

What does a slope of -1/5 indicate about the line?

Back

The line falls gently from left to right, decreasing 1 unit in height for every 5 units it moves to the right.