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 y (rise) divided by the change in x (run).

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through (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

In the equation y = -⅚x - 9, what is the value of m?

Back

m = -⅚.

Front

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

Back

The slope is 0, as it is a horizontal line.