Relate Tables, Graphs, and Equations

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you determine the slope from an equation?

Back

The slope is the coefficient of x in the equation.

Front

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

Back

The y-intercept is the value of y when x = 0.

Front

What is a dependent variable?

Back

A dependent variable is the outcome or result that depends on the independent variable.

Front

What is an independent variable?

Back

An independent variable is the variable that is manipulated or changed in an experiment.

Front

How do you find the total cost in a linear equation?

Back

Total cost can be found by substituting the value of the independent variable into the equation.

Front

What is the relationship between input and output in a function?

Back

The output is determined by applying a specific rule to the input.

Front

What does it mean if the output is 8 times the input?

Back

It means that for every unit increase in the input, the output increases by 8 times that amount.

Front

How can you represent a function using a table?

Back

A function can be represented by listing pairs of input and output values in a table.

Front

What is the significance of the slope in a graph?

Back

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