Finding Slope from Two Points

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, typically represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the slope from 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 the x-values increase, the y-values also increase, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating no change in y-values as x-values change.

Front

What does an undefined slope mean?

Back

An undefined slope occurs when a line is vertical, meaning there is no change in x-values as y-values change.

Front

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

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (4, 5) and (4, 9).

Back

The slope is undefined.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Back

The slope is 1.

Front

If the slope of a line is -3, what does this tell you about the line's direction?

Back

The line slopes downward from left to right, indicating a negative relationship between x and y.