Graphs and Tables

Front

What is a graph?

Back

A graph is a visual representation of data that shows the relationship between two or more variables.

Front

What is a table in mathematics?

Back

A table is a systematic arrangement of data, usually in rows and columns, that helps to organize and present information clearly.

Front

What does the term 'unit rate' mean?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Front

How do you find the constant of proportionality?

Back

The constant of proportionality is found by dividing the value of one variable by the value of another variable in a proportional relationship.

Front

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

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'slope' represent in a graph?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant.

Front

How do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line and using the formula: slope = (change in y) / (change in x).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line, indicating a constant rate of change between the variables.