Question

Make a table of ordered pairs for the equation.

Answer 1

TABLE:

$\left|\begin{array}{ccc}x & y & Ordered\:Pair\\-2 & 30 & (-2,30)\\-1 & 17 & (-1,17)\\0 & 4 & (0,4)\\1 & -9 & (1,-9)\\2 & -22 & (2,-22)\end{array}\right|$

Explanation:

An ordered pair is the pair of numbers $(a,b)$ at which the order matters. So $(a,b)$ is different from $(b,a)$. Here in this exercise we have the following linear equation:

$y=-13x+4$

So, let's choose some x-values and find the corresponding y-values:

$\bullet \ For \ x=-2 \\ \\ y=-13(-2)+4 \\ \\ y=26+4 \\ \\ y=30 \\ \\ Order \ Pair: \ (-2,30)$

$\bullet \ For \ x=-1 \\ \\ y=-13(-1)+4 \\ \\ y=13+4 \\ \\ y=17 \\ \\ Order \ Pair: \ (-1,17)$

$\bullet \ For \ x=0 \\ \\ y=-13(0)+4 \\ \\ y=0+4 \\ \\ y=0 \\ \\ Order \ Pair: \ (0,4)$

$\bullet \ For \ x=1 \\ \\ y=-13(1)+4 \\ \\ y=-13+4 \\ \\ y=-9 \\ \\ Order \ Pair: \ (1,-9)$

$\bullet \ For \ x=2 \\ \\ y=-13(2)+4 \\ \\ y=-26+4 \\ \\ y=-22 \\ \\ Order \ Pair: \ (2,-22)$

So we can make a Table with these values:

$\left|\begin{array}{ccc}x & y & Ordered\:Pair\\-2 & 30 & (-2,30)\\-1 & 17 & (-1,17)\\0 & 4 & (0,4)\\1 & -9 & (1,-9)\\2 & -22 & (2,-22)\end{array}\right|$

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: brainly.com/question/13774626#

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