Slope and Graphs, ROC, tables, and Proportionality

Front

What is the definition of slope?

Back

Slope is the measure of the steepness of a line, calculated as the ratio of vertical change (rise) to horizontal change (run).

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 a zero slope?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning they increase or decrease together.

Front

How can you determine if a graph is proportional?

Back

A graph is proportional if it passes through the origin (0,0) and forms a straight line.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 4/1, what does this mean?

Back

A slope of 4/1 means that for every 1 unit you move horizontally to the right, the line rises 4 units vertically.

Front

What does a slope of -5/3 indicate?

Back

A slope of -5/3 indicates that for every 3 units you move horizontally to the right, the line falls 5 units vertically.

Front

What is the rise in the slope formula?

Back

The rise in the slope formula refers to the change in the y-values (vertical change) between two points on a line.