Writing Equations from Tables, Graphs and Situations

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a nonproportional relationship?

Back

A nonproportional relationship is one where the ratio between two quantities is not constant, meaning they do not increase or decrease at a consistent rate.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

How can you identify a nonproportional relationship from a table?

Back

A table represents a nonproportional relationship if the ratios of the corresponding values are not constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality (k) is the constant factor that relates two proportional quantities, expressed in the equation y = kx.

Front

If y = 7x, what is the constant of proportionality?

Back

The constant of proportionality is 7.

Front

What does the equation y = 45x represent?

Back

This equation represents a proportional relationship where for every unit increase in x, y increases by 45.

Front

How do you determine the equation from a graph?

Back

To determine the equation from a graph, identify the slope (rate of change) and the y-intercept, then use the slope-intercept form y = mx + b.

Front

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

Back

The slope represents the rate of change between two quantities, such as speed in a distance-time graph.

Front

If a graph shows that I drove 80 miles every 2 hours, what is the speed?

Back

The speed is 40 miles per hour.