Question

exercises 13-2

answer each of the following.

1. complete the table of values below. then graph the equation. label the coordinates of each point.

graph each of the following linear equations by first creating a table of values. for some exercises, \\(x\\)-values are suggested. for other exercises, choose convenient \\(x\\)-values.

1. \\(y = x + 5\\); use the \\(x\\)-values \\(-1\\), \\(0\\), and \\(1\\) in your table.
2. \\(y = x - 1\\)
3. \\(y = \frac{1}{3}x\\); use the \\(x\\)-values \\(-6\\), \\(0\\), and \\(6\\) in your table.
4. \\(y = \frac{1}{3}x + 2\\)
5. \\(y = \frac{3}{4}x - 1\\); use the \\(x\\)-values \\(-4\\), \\(0\\), and \\(4\\) in your table.

Explanation:

Calculate table values for Question 1

$$
LATEXBLOCK0
$$

Calculate table values for Questions 2 to 6

$$
LATEXBLOCK1
$$

Answer:

Question 1

\(x\)	\(y = 2x - 4\)	\((x, y)\)
\(-1\)	\(2(-1) - 4 = -6\)	\((-1, -6)\)
\(0\)	\(2(0) - 4 = -4\)	\((0, -4)\)
\(1\)	\(2(1) - 4 = -2\)	\((1, -2)\)
\(2\)	\(2(2) - 4 = 0\)	\((2, 0)\)
\(3\)	\(2(3) - 4 = 2\)	\((3, 2)\)

Question 2

\(x\)	\(y = x + 5\)	\((x, y)\)
\(0\)	\(5\)	\((0, 5)\)
\(1\)	\(6\)	\((1, 6)\)

Question 3

\(x\)	\(y = x - 1\)	\((x, y)\)
\(1\)	\(0\)	\((1, 0)\)
\(2\)	\(1\)	\((2, 1)\)

Question 4

\(x\)	\(y = \frac{1}{3}x\)	\((x, y)\)
\(0\)	\(0\)	\((0, 0)\)
\(6\)	\(2\)	\((6, 2)\)

Question 5

\(x\)	\(y = \frac{1}{3}x + 2\)	\((x, y)\)
\(0\)	\(2\)	\((0, 2)\)
\(3\)	\(3\)	\((3, 3)\)

Question 6

\(x\)	\(y = \frac{3}{4}x - 1\)	\((x, y)\)
\(0\)	\(-1\)	\((0, -1)\)
\(4\)	\(2\)	\((4, 2)\)