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 rise (vertical change) to the run (horizontal change).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every unit increase in x, y increases by the same amount, resulting in a 45-degree angle.

Front

What is the slope of the line passing through the points (2, 3) and (5, 7)?

Back

Slope = (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the slope of the line passing through the points (1, 2) and (1, 5)?

Back

The slope is undefined because the x-coordinates are the same.

Front

What is the slope of the line passing through the points (4, 8) and (2, 4)?

Back

Slope = (4 - 8) / (2 - 4) = -4 / -2 = 2.