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.
$y = -\frac{5}{4}x - 4$
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 $x$, $-\frac{5}{4}x$, $y = -\frac{5}{4}x - 4$ and rows with $x$ values -4, -3, -2, -1, 0, 1, 2, 3)

Explanation:

Step1: Calculate $-\frac{5}{4}x$ for $x=-4$

$\displaystyle -\frac{5}{4} \times (-4) = 5$

Step2: Calculate $y$ for $x=-4$

$\displaystyle y = 5 - 4 = 1$

Step3: Calculate $-\frac{5}{4}x$ for $x=0$

$\displaystyle -\frac{5}{4} \times 0 = 0$

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

$\displaystyle y = 0 - 4 = -4$

Step5: Calculate $-\frac{5}{4}x$ for $x=4$

(Using $x=4$ to avoid fractions, as suggested)
$\displaystyle -\frac{5}{4} \times 4 = -5$

Step6: Calculate $y$ for $x=4$

$\displaystyle y = -5 - 4 = -9$

Answer:

$x$	$-\frac{5}{4}x$	$y = -\frac{5}{4}x - 4$
$0$	$0$	$-4$
$4$	$-5$	$-9$