Slope! Slope! Slope!

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, 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 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, as there is no vertical change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as there is no horizontal change.

Front

If a line rises 3 units for every 1 unit it runs, what is the slope?

Back

Front

If a line falls 4 units for every 2 units it runs, what is the slope?

Back

Front

How do you find the slope from a graph?

Back

To find the slope from a graph, choose two points on the line, count the vertical change (rise) and the horizontal change (run), and use the formula m = rise/run.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.