Question

$y = \frac{5}{2}x - 8$
there is a table with columns x and y (empty cells below), and a coordinate grid with x and y axes.

Explanation:

Step1: Choose x-values for calculation

We select integer x-values (even numbers simplify the fraction): $x=0, 2, 4, -2, -4$

Step2: Calculate y for x=0

Substitute $x=0$ into $y=\frac{5}{2}x-8$
$y=\frac{5}{2}(0)-8 = -8$

Step3: Calculate y for x=2

Substitute $x=2$ into $y=\frac{5}{2}x-8$
$y=\frac{5}{2}(2)-8 = 5-8 = -3$

Step4: Calculate y for x=4

Substitute $x=4$ into $y=\frac{5}{2}x-8$
$y=\frac{5}{2}(4)-8 = 10-8 = 2$

Step5: Calculate y for x=-2

Substitute $x=-2$ into $y=\frac{5}{2}x-8$
$y=\frac{5}{2}(-2)-8 = -5-8 = -13$

Step6: Calculate y for x=-4

Substitute $x=-4$ into $y=\frac{5}{2}x-8$
$y=\frac{5}{2}(-4)-8 = -10-8 = -18$

Answer:

Completed Table:

$x$	$y$
$-2$	$-13$
$0$	$-8$
$2$	$-3$
$4$	$2$

Graph Instructions:

Plot the points $(-4, -18)$, $(-2, -13)$, $(0, -8)$, $(2, -3)$, $(4, 2)$ on the coordinate grid, then draw a straight line passing through all these points. This line represents the function $y=\frac{5}{2}x-8$.