Hodgins Algebraic Representations

Front

What does the equation y = 7x represent?

Back

A multiplicative relationship where the dependent variable y is seven times the independent variable x.

Front

What is the significance of the ordered pair (0, 0) in the equation y = 7x?

Back

It represents a point on the graph where both the dependent and independent variables are zero, meaning the line passes through the origin.

Front

What is a multiplicative relationship?

Back

A relationship where one quantity is a constant multiple of another, often represented by equations of the form y = kx.

Front

What is an additive relationship?

Back

A relationship where a constant is added to the independent variable to find the dependent variable, often represented by equations of the form y = x + b.

Front

How can you determine the dependent variable in the equation y = 7x?

Back

By multiplying the independent variable x by seven.

Front

What does the equation m = 7h represent?

Back

It shows that the dependent variable m is seven times the independent variable h.

Front

What is the general form of a linear equation?

Back

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

Front

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

Back

The rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in the equation y = x + 9.6?

Back

The y-intercept is 9.6, which is the value of y when x is 0.

Front

How do you identify a multiplicative relationship from a table of values?

Back

If the ratio of the dependent variable to the independent variable is constant, it indicates a multiplicative relationship.