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.
$y = -\frac{2}{3}x - 1$
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.
(table with columns $x$, $-\frac{2}{3}x$, $y = -\frac{2}{3}x - 1$ and rows with $x$ values -3, -2, -1, 0, 1, 2, 3)

Explanation:

Step1: Calculate $-\frac{2}{3}x$ for $x=-3$

$\displaystyle -\frac{2}{3} \times (-3) = 2$

Step2: Calculate $y$ for $x=-3$

$\displaystyle y = 2 - 1 = 1$

Step3: Calculate $-\frac{2}{3}x$ for $x=0$

$\displaystyle -\frac{2}{3} \times 0 = 0$

Step4: Calculate $y$ for $x=0$

$\displaystyle y = 0 - 1 = -1$

Step5: Calculate $-\frac{2}{3}x$ for $x=3$

$\displaystyle -\frac{2}{3} \times 3 = -2$

Step6: Calculate $y$ for $x=3$

$\displaystyle y = -2 - 1 = -3$

Answer:

$x$	$-\frac{2}{3}x$	$y = -\frac{2}{3}x - 1$
$0$	$0$	$-1$
$3$	$-2$	$-3$