Slope and Proportional Relationships Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

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

Back

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

Front

What does the slope represent in a real-world context?

Back

The slope represents the rate of change between two variables, such as speed or cost per item.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio between two quantities remains constant.

Front

How can you tell if a relationship is proportional from a table of values?

Back

If the ratio of y to x is constant for all pairs of values, the relationship is proportional.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio between two quantities.

Front

If a line passes through the origin, what can be said about its slope?

Back

If a line passes through the origin, it represents a proportional relationship with a slope that can be calculated from any two points on the line.

Front

What is the rate of change in a graph?

Back

The rate of change is the slope of the graph, indicating how much y changes for a change in x.