Question

1. graph y=-x + 6 using tables.

Explanation:

Step1: Choose x - values

Let's choose x = 0, 2, 4, 6.

Step2: Calculate corresponding y - values

When x = 0, y=-0 + 6=6.
When x = 2, y=-2 + 6 = 4.
When x = 4, y=-4 + 6 = 2.
When x = 6, y=-6 + 6 = 0.

Step3: Create a table

x	y
2	4
4	2
6	0

Step4: Plot the points

Plot the points (0,6), (2,4), (4,2), (6,0) on the coordinate plane and draw a straight - line through them.

Answer:

The graph of y = -x + 6 is a straight - line passing through the points (0,6), (2,4), (4,2), (6,0).