Calculating Slope of a Line

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (vertical change) divided by the change in x (horizontal change).

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

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

2

Front

Find the slope of the line that passes through the points (10, 1) and (5, 2).

Back

-1/5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line that passes through the points (1, 3) and (4, 9)?

Back

2

Front

What is the slope of the line that passes through the points (3, 5) and (3, 8)?

Back

Undefined (vertical line).

Front

Find the slope of the line that passes through the points (0, 0) and (5, 10).

Back

2