Slope from graphs and tables

Front

What is slope?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-value changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the x-value does not change, resulting in a division by zero.

Front

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

Back

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

Front

What is the slope of a line that rises 4 units for every 12 units it runs?

Back

The slope is 4/12, which simplifies to 1/3.

Front

If a line has a slope of -3, what does this tell you about its direction?

Back

A slope of -3 indicates that the line descends steeply as it moves from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.