Slope Review

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

The slope 'm' is calculated using the formula: m = (y2 - y1) / (x2 - x1).

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 does a positive slope indicate about a line?

Back

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

Front

Find the slope of the line through the points (1, 2) and (3, 4).

Back

m = (4 - 2) / (3 - 1) = 2 / 2 = 1.

Front

Find the slope of the line through the points (5, 5) and (5, 10).

Back

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

Front

What is the slope of the line through the points (2, 3) and (2, 1)?

Back

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

Front

Find the slope of the line through the points (0, 0) and (4, 8).

Back

m = (8 - 0) / (4 - 0) = 8 / 4 = 2.