Slope

Front

What is slope?

Back

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

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 you move from left to right along the line, the line rises.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as you move from left to right along the line, the line falls.

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

If a line has a slope of 4/3, what does this mean?

Back

This means that for every 3 units you move horizontally to the right, you move 4 units up.

Front

What is the slope of the line passing through the points (2, 3) and (5, 11)?

Back

Slope = (11 - 3) / (5 - 2) = 8 / 3.

Front

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

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line passing through the points (0, 0) and (4, 4)?

Back

Slope = (4 - 0) / (4 - 0) = 1.