Question

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

Select 2 that apply.

(2 points)
Responses












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Answer 1

To determine if a table represents a linear function with the same slope as \( y = 2 - 3x \), we first identify the slope of the given equation. The equation can be rearranged into the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

The equation \( y = 2 - 3x \) can be rewritten as:
\[ y = -3x + 2 \]

Here, the slope \( m \) is \(-3\).

Next, we need to look at the options you have listed and see if any of them represent a linear function with a slope of \(-3\).

To check if a table represents a linear function with slope \(-3\), we can calculate the slopes between pairs of points in the table. The slope between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

If you provide the tables you are referring to, I can help identify which ones have a slope of \(-3\).