Types of Slope and Slope Formula

Front

What is the definition of slope?

Back

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

Front

What are the types of slope?

Back

1. Positive Slope: Rises from left to right. 2. Negative Slope: Falls from left to right. 3. Zero Slope: Horizontal line, no rise. 4. Undefined Slope: Vertical line, no run.

Front

How do you calculate the slope between two points?

Back

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

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.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 3)?

Back

0 (horizontal line).

Front

What is the slope of the line that passes through the points (1, 2) and (1, 5)?

Back

Undefined (vertical line).

Front

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

Back

1.

Front

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

Back

-2.

Front

If a line has a positive slope, what does that indicate about the line's direction?

Back

It indicates that the line rises as it moves from left to right.