Question

y = x - 4\
\

x	y	\
		\
		\
		\
		\
		\

\
(coordinate grid with x and y axes)

Explanation:

Step1: Choose x-values, solve for y

Pick 5 x-values, substitute into $y=x-4$:

• For $x=0$: $y=0-4=-4$
• For $x=2$: $y=2-4=-2$
• For $x=4$: $y=4-4=0$
• For $x=-2$: $y=-2-4=-6$
• For $x=-4$: $y=-4-4=-8$

Step2: Fill the table

Organize (x,y) pairs into the table:

$x$	$y$
$-2$	$-6$
$0$	$-4$
$2$	$-2$
$4$	$0$

Step3: Plot points, draw line

Plot the 5 points on the coordinate grid, then draw a straight line through them (this line represents all solutions to $y=x-4$).

Answer:

Completed Table:

$x$	$y$
$-2$	$-6$
$0$	$-4$
$2$	$-2$
$4$	$0$

Graph Description:

A straight line passing through the points $(-4,-8)$, $(-2,-6)$, $(0,-4)$, $(2,-2)$, $(4,0)$, with a slope of 1 and a y-intercept at $(0,-4)$.