Input Output Tables

Front

What is an input-output table?

Back

An input-output table is a mathematical table that shows how each input value corresponds to an output value based on a specific rule or function.

Front

What is the formula for a linear equation?

Back

A linear equation can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the output value in an input-output table?

Back

To find the output value, substitute the input value into the function or equation that defines the relationship.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of the output value with respect to the input value.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

If x = 0 in the equation y = 3x + 5, what is y?

Back

y = 5.

Front

What is the output when the input is -2 in the equation y = 4x - 1?

Back

y = -9.

Front

How do you determine if a linear equation fits a given input-output table?

Back

Substitute the input values from the table into the equation and check if the corresponding output values match.

Front

What is the output for x = 5 in the equation y = -2x + 10?

Back

y = 0.

Front

What does it mean if a linear equation has a negative slope?

Back

A negative slope indicates that as the input value increases, the output value decreases.