Math  /  Algebra

QuestionComplete the table with 3 ordered pairs that satisfy this function, and then draw a complete graph. y=2x+7y=-2 x+7 or 2x+y=72 x+y=7 \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. We are given a linear function in two forms: y=2x+7 y = -2x + 7 and 2x+y=7 2x + y = 7 .
2. We need to find three ordered pairs (x,y)(x, y) that satisfy the function.
3. We need to complete a table with these ordered pairs.
4. We need to draw a complete graph of the function.

STEP 2

1. Choose values for x x and solve for y y using the equation y=2x+7 y = -2x + 7 .
2. Record the ordered pairs in the table.
3. Plot the ordered pairs on a graph.
4. Draw the complete graph of the function.

STEP 3

Choose values for x x and solve for y y using the equation y=2x+7 y = -2x + 7 .
Let's choose x=0 x = 0 : y=2(0)+7=7 y = -2(0) + 7 = 7 Ordered pair: (0,7) (0, 7)
Choose x=1 x = 1 : y=2(1)+7=5 y = -2(1) + 7 = 5 Ordered pair: (1,5) (1, 5)
Choose x=1 x = -1 : y=2(1)+7=9 y = -2(-1) + 7 = 9 Ordered pair: (1,9) (-1, 9)

STEP 4

Record the ordered pairs in the table.
\begin{tabular}{|c|c|} \hline x & y \\ \hline 0 & 7 \\ \hline 1 & 5 \\ \hline -1 & 9 \\ \hline \end{tabular}

STEP 5

Plot the ordered pairs (0,7)(0, 7), (1,5)(1, 5), and (1,9)(-1, 9) on a graph.

STEP 6

Draw the complete graph of the function by connecting the points with a straight line, as the equation represents a linear function.

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