Slope of a Graph

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a slope of zero mean?

Back

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

Front

What does an undefined slope mean?

Back

An undefined slope occurs in vertical lines where the change in x is zero, leading to division by zero.

Front

What is the formula for slope?

Back

Slope (m) = rise/run or (change in y)/(change in x).

Front

If a line rises 4 units for every 5 units it runs, what is the slope?

Back

The slope is 4/5.

Front

If a line falls 5 units for every 4 units it runs, what is the slope?

Back

The slope is -5/4.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.