Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio. For example, if one quantity doubles, the other quantity also doubles.

Front

What does it mean for a graph to show a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot, indicating the trend of the data points.

Front

How can you determine if a graph is proportional?

Back

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

Front

What type of correlation is indicated by a downward sloping scatterplot?

Back

A downward sloping scatterplot indicates a negative correlation, meaning as one variable increases, the other decreases.

Front

What is the rule for a dilation that enlarges a figure?

Back

The rule for an enlargement dilation is of the form (x,y) → (kx, ky) where k > 1.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a figure (k > 1), while reduction decreases the size of a figure (0 < k < 1).

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it is considered non-proportional.

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, showing how much one variable is affected by another.

Front

What is the significance of the slope in a linear graph?

Back

The slope of a linear graph indicates the rate of change between the two variables represented.

Front

How do you identify a positive correlation in a scatterplot?

Back

A positive correlation is identified when the data points slope upwards from left to right, indicating that as one variable increases, the other also increases.