McGraw Hill Integrated II, 2012
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Exercise 6 Page 91

Substitute some arbitrary values of x into the given equation.

Practice makes perfect
Let's start by isolating y in the given equation. 3y = 6 + 9x ⇔ y = 3x + 2

To draw the graph of our equation, we will use a table of values. Substituting some arbitrary values of x into the given equation will give us the corresponding y-values.

x 3x + 2 y = 3x + 2
- 1 3( - 1) + 2 - 1
0 3( 0) + 2 2
1 3( 1) + 2 5

Now let's plot these ( x, y) coordinate pairs and connect them with a straight line.