Multiple Representations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

What is the y-intercept?

Back

Front

How do you find the slope from two points?

Back

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In mathematical terms, for every x-value, there is one corresponding y-value.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a linear equation and its graph is a straight line.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is changed or controlled in an experiment, while the dependent variable is the variable that is measured or affected.

Front

How can you represent a situation with a linear equation?

Back

Front

What is a table of values in relation to a linear equation?

Back

A table of values lists pairs of x and y values that satisfy a linear equation, showing how y changes as x changes.

Front

How do you determine if a table of values represents a linear function?

Back

A table of values represents a linear function if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.