Question

respond to the following based on your reading.

1. complete the table of values below and use it to graph the equation \\(y - x = -6\\).

\\(\

$$\begin{array}{c|c|c|c} x & 1 & 2 & 3 \\\\ \\hline y & & & \\end{array}$$

\\)

1. find the slope of the line below.

Explanation:

Solve for y-values in the table

Using the equation \(y - x = -6\), solve for \(y\) by rewriting it as \(y = x - 6\):

$$
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$$

Find the slope of the line in Question 2

Identify two points on the given line from the graph: \((0, 5)\) and \((2, -1)\). Apply the slope formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\):

$$ m = \frac{-1 - 5}{2 - 0} = \frac{-6}{2} = -3 $$

Answer:

Question 1

\(x\)	1	2	3

Question 2

The slope of the line is \(-3\).