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.
[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.