Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented 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 is the slope of a line that rises to the right?

Back

The slope is positive.

Front

What is the slope of a line that falls to the right?

Back

The slope is negative.

Front

What is the slope of a horizontal line?

Back

The slope is zero.

Front

What is the slope of a vertical line?

Back

The slope is undefined.

Front

Find the slope of the line that passes through the points (2, 3) and (4, 7).

Back

The slope is 2.

Front

Find the slope of the line that passes through the points (1, 2) and (3, 4).

Back

The slope is 1.

Front

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

Back

The line falls from left to right.

Front

What does a slope of 1/2 indicate about the steepness of a line?

Back

The line rises 1 unit for every 2 units it runs, indicating a gentle slope.