Types of Slope

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is a positive slope?

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 is a negative slope?

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 is zero slope?

Back

Zero slope indicates a horizontal line where there is no change in y-values as x-values change.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where there is no change in x-values, leading to division by zero.

Front

How do you calculate slope using two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a slope of -4 mean?

Back

A slope of -4 means that for every 1 unit increase in x, the y-value decreases by 4 units.

Front

What does a slope of 5/2 mean?

Back

A slope of 5/2 means that for every 2 units increase in x, the y-value increases by 5 units.

Front

Identify the slope of the line through points (1, -19) and (-2, -7).

Back

The slope is -4.

Front

Identify the slope of the line through points (3, 2) and (6, 5).

Back

The slope is 1.