Question

the table shows four values of x and their corresponding values of f(x). there is a linear relationship between x and f(x) that is defined by the equation f(x)=mx-b, where m and b are constants. what is the value of m?

Answer 1

To find the value of \( m \) in the linear equation \( f(x) = mx - b \), we need two points from your table. A linear equation can be expressed in slope-intercept form \( y = mx + c \), and the slope \( m \) can be calculated using two points \((x_1, f(x_1))\) and \((x_2, f(x_2))\) as follows:

\[
m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}
\]

Please provide the values of \( x \) and the corresponding \( f(x) \) from the table so I can calculate \( m \) for you.