Question

$y = -3x - 3$

x y

Explanation:

Step1: Choose x-values, substitute

Let's pick \(x = -2, -1, 0, 1, 2\)

• For \(x=-2\): \(y=-3(-2)-3=6-3=3\)
• For \(x=-1\): \(y=-3(-1)-3=3-3=0\)
• For \(x=0\): \(y=-3(0)-3=0-3=-3\)
• For \(x=1\): \(y=-3(1)-3=-3-3=-6\)
• For \(x=2\): \(y=-3(2)-3=-6-3=-9\)

Step2: Fill the table

Organize the (x,y) pairs:

\(x\)	\(y\)
-1	0
0	-3
1	-6
2	-9

Step3: Plot points on grid

Plot each pair \((-2,3), (-1,0), (0,-3), (1,-6), (2,-9)\), then draw a straight line through them.

Answer:

Completed Table:

\(x\)	\(y\)
-1	0
0	-3
1	-6
2	-9

Graph Description:

A straight line passing through the plotted points above, with a slope of \(-3\) and y-intercept at \((0, -3)\).