Homework 12/18

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two variables where the ratio of the two variables is not constant. This means that as one variable changes, the other does not change in a consistent manner.

Front

Why does a graph show a non-proportional relationship?

Back

A graph shows a non-proportional relationship if it does not pass through the origin (0,0). This indicates that the relationship between the variables does not maintain a constant ratio.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship can be identified from a graph if it is a straight line that passes through the origin.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph.

Front

What is the equation for the table given: (0,0), (1,3), (2,6), (3,9)?

Back

y = 3x

Front

What does it mean if a graph is a straight line?

Back

If a graph is a straight line, it indicates a linear relationship between the two variables, which can be either proportional or non-proportional depending on whether it passes through the origin.

Front

What is the significance of the origin in a graph?

Back

The origin (0,0) is significant in a graph because it is the point where both variables are zero. If a line passes through the origin, it indicates a proportional relationship.

Front

What is a constant of proportionality?

Back

The constant of proportionality is the constant value (k) in the equation y = kx, representing the ratio of y to x in a proportional relationship.

Front

How do you write an equation from a set of points?

Back

To write an equation from a set of points, identify the pattern in the changes of y relative to x, and express it in the form y = mx + b, where m is the slope and b is the y-intercept.