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.

$y = \frac{7}{4}x + 2$

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.

$x$	$\frac{7}{4}x$	$y = \frac{7}{4}x + 2$
$-3$
$-2$
$-1$
$0$
$1$
$2$
$3$

Explanation:

Step1: Calculate $\frac{7}{4}x$ for $x=-4$

$\frac{7}{4} \times (-4) = -7$

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

$-7 + 2 = -5$

Step3: Calculate $\frac{7}{4}x$ for $x=0$

$\frac{7}{4} \times 0 = 0$

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

$0 + 2 = 2$

Step5: Calculate $\frac{7}{4}x$ for $x=4$ (chosen to avoid fractions)

$\frac{7}{4} \times 4 = 7$

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

$7 + 2 = 9$

Answer:

$x$	$\frac{7}{4}x$	$y=\frac{7}{4}x+2$
$0$	$0$	$2$
$4$	$7$	$9$

(Note: These 3 rows satisfy the requirement of non-fraction results as suggested by the hint, and can be used to graph the linear function by plotting the points $(-4, -5)$, $(0, 2)$, and $(4, 9)$ and drawing a straight line through them.)