Identify the zero of the linear function.

\begin{tabular}{|l|l|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
-8 & -3 \\
\hline
-4 & 0 \\
\hline
0 & 3 \\
\hline
4 & 6 \\
\hline
8 & 9 \\
\hline
\end{tabular}

Type your answer as an ordered pair in the box.

The zero of the line is [tex]$\square$[/tex].

Use the zero and another point in the table to graph the line.

To graph the line, click on the Point button to place the zero and another point on the graph. Do not use more than two points to graph the line. Additional points will be marked as incorrect.

Next, click on the Line button, then click on the two points you placed on the graph. This will draw the line between the points.



Answer :

To identify the zero of the linear function, we need to find the point where [tex]\( y \)[/tex] equals 0. Looking at the provided table:

[tex]\[ \begin{tabular}{|c|c|} \hline x & y \\ \hline -8 & -3 \\ \hline -4 & 0 \\ \hline 0 & 3 \\ \hline 4 & 6 \\ \hline 8 & 9 \\ \hline \end{tabular} \][/tex]

we can see that when [tex]\( x = -4 \)[/tex], [tex]\( y = 0 \)[/tex]. Therefore, the zero of the linear function is the ordered pair [tex]\((-4, 0)\)[/tex].

Now, to graph the line, we will use the zero [tex]\((-4, 0)\)[/tex] and another point from the table. Let's select the point [tex]\((0, 3)\)[/tex] to graph the line.

To graph the line:

1. Click on the Point button and place the zero [tex]\((-4, 0)\)[/tex] on the graph.
2. Click on the Point button again and place the point [tex]\((0, 3)\)[/tex] on the graph.
3. Click on the Line button, then click on the two points you placed ([tex]\((-4, 0)\)[/tex] and [tex]\((0, 3)\)[/tex]). This will draw the line between these two points.

This process will result in a graph of the linear function defined by the points you have chosen.