Problem

Find any two ordered pairs that lie on the given line. Graph the line and then determine the slope. \[ 3 x+y=-1 \] Find two ordered pairs that lie on the given line. Complete the table given below. \begin{tabular}{|c|c|c|} \hline$x$ & $y$ & $(x, y)$ \\ \hline-1 & $\square$ & $\square$ \\ \hline 1 & $\square$ & $\square$ \\ \hline \end{tabular}

Solution

Step 1 :Given the equation \(3x + y = -1\), we are asked to find two ordered pairs that lie on this line.

Step 2 :We can find these ordered pairs by substituting the given x-values (-1 and 1) into the equation and solving for y.

Step 3 :For \(x = -1\), substituting into the equation gives \(3(-1) + y = -1\), which simplifies to \(-3 + y = -1\). Solving for y gives \(y = 2\). So the ordered pair is \((-1, 2)\).

Step 4 :For \(x = 1\), substituting into the equation gives \(3(1) + y = -1\), which simplifies to \(3 + y = -1\). Solving for y gives \(y = -4\). So the ordered pair is \((1, -4)\).

Step 5 :\(\boxed{\text{The two ordered pairs that lie on the line are } (-1, 2) \text{ and } (1, -4)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/A4Ob7k5rzW/

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