7-5-6 Slope and Rates of Change

Front

What is the definition of 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

How do you determine if a slope is positive or negative?

Back

A slope is positive if the line rises from left to right and negative if it 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 indicate about its direction?

Back

A slope of -1 indicates that for every unit the line moves horizontally to the right, it moves down 1 unit.

Front

Calculate the slope between the points (2, 3) and (4, 7).

Back

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

Front

What does a slope of 1/2 mean in terms of rise over run?

Back

A slope of 1/2 means that for every 2 units moved horizontally to the right, the line rises 1 unit.

Front

If a line has a slope of 0, what can be said about its graph?

Back

The graph of a line with a slope of 0 is horizontal.

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

If the slope of a line is -5/4, what does this indicate about its steepness?

Back

A slope of -5/4 indicates a steep downward incline.