Slope from a Line

Front

What is slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the formula for calculating slope?

Back

The formula for slope (m) is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What type of slope is represented by a line that rises from left to right?

Back

Positive slope.

Front

What type of slope is represented by a line that falls from left to right?

Back

Negative slope.

Front

What type of slope is represented by a horizontal line?

Back

Zero slope.

Front

What type of slope is represented by a vertical line?

Back

Undefined slope.

Front

If a line has a slope of 2, what does this mean?

Back

For every 2 units the line rises, it moves 1 unit to the right.

Front

Calculate the slope between the points (1, 2) and (3, 6).

Back

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

Front

What is the slope of a line that goes down 3 units for every 1 unit it moves to the right?

Back

The slope is -3.

Front

If a line has a slope of -1/2, what does this indicate about its direction?

Back

The line falls as it moves from left to right, decreasing in value.