Question

Which of the following tables represent a linear function with the same slope as y = 2 - 3x ?

Answer 1

To determine whether a given table represents a linear function with the same slope as the line described by the equation \( y = 2 - 3x \), we first need to identify the slope of the given equation. The slope-intercept form of a linear equation is \( y = mx + b \), where \( m \) is the slope.

In the equation \( y = 2 - 3x \), we can rearrange it as:

\[
y = -3x + 2
\]

From this, we can see that the slope \( m \) is \(-3\).

Now, to determine if a table represents a linear function with the same slope, we will check if the change in \( y \) divided by the change in \( x \) (which gives us the slope) equals \(-3\) for each pair of values in the table.

If you have specific tables to analyze, please provide them, and I can help calculate the slopes to see if any of them have the same slope of \(-3\).