Slope Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness of a line, typically represented as 'm'. It is calculated as the change in y (rise) over the change in x (run).

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 slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal and there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

Front

If a line has a slope of -1, what does this tell you about its direction?

Back

A slope of -1 indicates that the line falls at a 45-degree angle from left to right.

Front

What letter is commonly used to represent slope in equations?

Back

The letter 'm' is commonly used to represent slope.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is (6 - 2) / (3 - 1) = 4 / 2 = 2.

Front

What is the slope of a line that runs parallel to the x-axis?

Back

The slope of a line parallel to the x-axis is 0.

Front

What is the slope of a line that runs parallel to the y-axis?

Back

The slope of a line parallel to the y-axis is undefined.