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 by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate 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

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 does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

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 direction does a line with a positive slope go?

Back

A line with a positive slope rises from left to right.

Front

What direction does a line with a negative slope go?

Back

A line with a negative slope falls from left to right.

Front

If a line has a slope of 0, what can you say about its graph?

Back

The graph of the line is horizontal.