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.

$y = -\frac{1}{4}x - 5$

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.

$x$	$-\frac{1}{4}x$	$y = -\frac{1}{4}x - 5$
$-3$
$-2$
$-1$
$0$
$1$
$2$
$3$

Explanation:

Step1: Calculate $-\frac{1}{4}x$ for $x=-4$

$\frac{-1}{4} \times (-4) = 1$

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

$1 - 5 = -4$

Step3: Calculate $-\frac{1}{4}x$ for $x=0$

$\frac{-1}{4} \times 0 = 0$

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

$0 - 5 = -5$

Step5: Calculate $-\frac{1}{4}x$ for $x=4$

(Note: We use $x=4$ to avoid fractions, as suggested in the hint)
$\frac{-1}{4} \times 4 = -1$

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

$-1 - 5 = -6$

Answer:

$x$	$-\frac{1}{4}x$	$y = -\frac{1}{4}x - 5$
$0$	$0$	$-5$
$4$	$-1$	$-6$