Slopes

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the run is zero, meaning there is no 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 horizontal line?

Back

The slope of a horizontal line is 0, as there is no rise.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run is 0.

Front

Find the slope of the line that passes through (2, 4) and (6, 12).

Back

Slope = 2

Front

Find the slope of the line that passes through (5, -10) and (5, -4).

Back

Slope = undefined

Front

Find the slope of the line that passes through (10, -8) and (1, 12).

Back

Slope = -20/9

Front

Find the slope of the line that passes through (-3, -4) and (7, 6).

Back

Slope = 1

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises as it moves from left to right.