4.28 Writing Equations from Tables

Front

What is a function in mathematics?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to write an equation from a table?

Back

Writing an equation from a table involves identifying the relationship between the variables represented in the table and expressing that relationship in algebraic form.

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine the slope from a table of values?

Back

The slope can be determined by finding the change in y divided by the change in x (rise/run) between two points.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the point where the line crosses the y-axis.

Front

If x = 5 and y = 10, what is the equation of the line if it has a slope of 2?

Back

The equation is y = 2x. Plugging in x = 5 gives y = 10.

Front

What is the purpose of using tables in algebra?

Back

Tables help organize data and identify patterns that can be used to formulate equations.

Front

What does the term 'independent variable' mean?

Back

The independent variable is the variable that is changed or controlled in an experiment to test its effects on the dependent variable.

Front

What does the term 'dependent variable' mean?

Back

The dependent variable is the variable that is measured and affected in an experiment; it depends on the independent variable.

Front

How can you find a missing value in a table?

Back

You can find a missing value by identifying the pattern or relationship between the existing values.