Question

graph the equation. let x = - 3, - 2, - 1, 0, 1, 2, and 3. y = 8 find the following y - values. then choose the correct graph of the equation to the right.

x

y

|-3|
|-2|
|-1|
|0|
|1|
|2|
|3|

Explanation:

Step1: Analyze the equation

The equation is $y = 8$. This means for any value of $x$, $y$ is always 8.

Step2: Fill in the y - values

When $x=-3$, $y = 8$; when $x=-2$, $y = 8$; when $x=-1$, $y = 8$; when $x = 0$, $y = 8$; when $x=1$, $y = 8$; when $x=2$, $y = 8$; when $x=3$, $y = 8$.

Step3: Identify the graph

The graph of the equation $y = 8$ is a horizontal line passing through the point $(0,8)$ on the $y$-axis.

Answer:

x	y
-2	8
-1	8
0	8
1	8
2	8
3	8

The correct graph is a horizontal line at $y = 8$ (assuming option A is the horizontal - line graph at $y = 8$).