Graphing with a Table of Values

Front

What is a table of values?

Back

A table of values is a chart that shows two sets of related numbers, typically x and y values, used to represent a function or relationship between variables.

Front

How do you find the y-value from an equation?

Back

To find the y-value from an equation, substitute the x-value into the equation and solve for y.

Front

What does the equation y = x + 5 represent?

Back

This equation represents a linear function where for every increase of 1 in x, y increases by 1, starting from 5.

Front

What is the slope of the line represented by y = 2x + 1?

Back

The slope of the line is 2, meaning for every increase of 1 in x, y increases by 2.

Front

What does it mean if a table of values is linear?

Back

A linear table of values means that the relationship between x and y can be represented by a straight line on a graph.

Front

How can you determine if an equation matches a table of values?

Back

You can determine if an equation matches a table of values by substituting the x-values from the table into the equation and checking if the resulting y-values match those in the table.

Front

What is the y-intercept in the equation y = 3x - 4?

Back

The y-intercept is -4, which is the value of y when x is 0.

Front

What does the term 'independent variable' refer to?

Back

The independent variable is the variable that is changed or controlled in an experiment or equation, typically represented by x.

Front

What does the term 'dependent variable' refer to?

Back

The dependent variable is the variable that is measured or affected in an experiment or equation, typically represented by y.

Front

How do you graph a linear equation using a table of values?

Back

To graph a linear equation using a table of values, plot the (x, y) pairs from the table on a coordinate plane and draw a straight line through the points.