Question

complete the equation describing how \\(x\\) and \\(y\\) are related.

\\(\

$$\begin{array}{c|c} x & y \\\\ \\hline -5 & 17 \\\\ -4 & 14 \\\\ -3 & 11 \\\\ -2 & 8 \\\\ -1 & 5 \\\\ 0 & 2 \\end{array}$$

\\)

\\(y = ?x + \\)

enter the number that belongs in the green box.

Explanation:

Calculate the slope (rate of change)

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{14 - 17}{-4 - (-5)} = \frac{-3}{1} = -3 $$

Identify the y-intercept

$$
LATEXBLOCK0
$$

Formulate the linear equation

$$ y = -3x + 2 $$

Answer:

Complete the equation describing how \(x\) and \(y\) are related.
\(y =\) <blank>-3</blank> \(x + 2\)