QUESTION IMAGE
Question
given the function below, fill in at least 3 rows of the table of values (you may skip the others). then use the table values to graph.
$y = -\frac{1}{3}x - 2$
answers must be written as fractions in simplest form, but you only need to complete 3 rows (can skip the rest). hint: try to find rows that would not result in fractions.
(skip row button)
table with x values -3, -2, -1, 0, 1, 2, 3 and columns $-\frac{1}{3}x$ and $y = -\frac{1}{3}x - 2$
Step1: Calculate $-\frac{1}{3}x$ for $x=-3$
$\displaystyle -\frac{1}{3} \times (-3) = 1$
Step2: Calculate $y$ for $x=-3$
$\displaystyle y = 1 - 2 = -1$
Step3: Calculate $-\frac{1}{3}x$ for $x=0$
$\displaystyle -\frac{1}{3} \times 0 = 0$
Step4: Calculate $y$ for $x=0$
$\displaystyle y = 0 - 2 = -2$
Step5: Calculate $-\frac{1}{3}x$ for $x=3$
$\displaystyle -\frac{1}{3} \times 3 = -1$
Step6: Calculate $y$ for $x=3$
$\displaystyle y = -1 - 2 = -3$
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| $x$ | $-\frac{1}{3}x$ | $y = -\frac{1}{3}x - 2$ |
|---|---|---|
| $0$ | $0$ | $-2$ |
| $3$ | $-1$ | $-3$ |
(These 3 rows satisfy the requirement of non-fraction values, as suggested by the hint)