TABLE:
[tex]\left|\begin{array}{ccc}x & y & Ordered\:Pair\\-2 & 30 & (-2,30)\\-1 & 17 & (-1,17)\\0 & 4 & (0,4)\\1 & -9 & (1,-9)\\2 & -22 & (2,-22)\end{array}\right|[/tex]
Explanation:
An ordered pair is the pair of numbers [tex](a,b)[/tex] at which the order matters. So [tex](a,b)[/tex] is different from [tex](b,a)[/tex]. Here in this exercise we have the following linear equation:
[tex]y=-13x+4[/tex]
So, let's choose some x-values and find the corresponding y-values:
[tex]\bullet \ For \ x=-2 \\ \\ y=-13(-2)+4 \\ \\ y=26+4 \\ \\ y=30 \\ \\ Order \ Pair: \ (-2,30)[/tex]
[tex]\bullet \ For \ x=-1 \\ \\ y=-13(-1)+4 \\ \\ y=13+4 \\ \\ y=17 \\ \\ Order \ Pair: \ (-1,17)[/tex]
[tex]\bullet \ For \ x=0 \\ \\ y=-13(0)+4 \\ \\ y=0+4 \\ \\ y=0 \\ \\ Order \ Pair: \ (0,4)[/tex]
[tex]\bullet \ For \ x=1 \\ \\ y=-13(1)+4 \\ \\ y=-13+4 \\ \\ y=-9 \\ \\ Order \ Pair: \ (1,-9)[/tex]
[tex]\bullet \ For \ x=2 \\ \\ y=-13(2)+4 \\ \\ y=-26+4 \\ \\ y=-22 \\ \\ Order \ Pair: \ (2,-22)[/tex]
So we can make a Table with these values:
[tex]\left|\begin{array}{ccc}x & y & Ordered\:Pair\\-2 & 30 & (-2,30)\\-1 & 17 & (-1,17)\\0 & 4 & (0,4)\\1 & -9 & (1,-9)\\2 & -22 & (2,-22)\end{array}\right|[/tex]
By using graph tools, we can plot the two first points on the graph of the line and this is shown in the figure below.
Learn more:
System of equations: https://brainly.com/question/13774626#
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