Questions: For the equation (3 x-5 y=-15) a) Complete the table: (x) (y) --- --- 0 0 b) Plot the two points you found in the table.

Transcript text: For the equation $3 x-5 y=-15$ a) Complete the table: \begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline & \\ \hline 0 & 0 \\ \hline & \\ \hline \end{tabular} b) Plot the two points you found in the table.

Solution

Solution Steps

Step 1: Find the y-intercept

When x = 0, the equation becomes: 3(0) - 5y = -15 -5y = -15 y = 3

Step 2: Find the x-intercept

When y = 0, the equation becomes: 3x - 5(0) = -15 3x = -15 x = -5

Step 3: Complete the table

\begin{tabular}{|c|c|} \hline $\mathbf{x}$ & $\mathbf{y}$ \\ \hline -5 & 0 \\ \hline 0 & 3 \\ \hline \end{tabular}

Step 4: Plot the points

Plot the points (-5, 0) and (0, 3) on the graph.

Final Answer

The completed table is:

| x | y | |---|---| | -5 | 0 | | 0 | 3 |

The plotted points are (-5, 0) and (0, 3).

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