Math  /  Algebra

Questionon 7 Question 2, 7.7.3 Part 3 of 4
For the following equation, find three ordered pair solutions by completing the table. Then use the orde pairs to graph the equation. y=2xy=2 x
Find three ordered pair solutions of the giver equatio \begin{tabular}{|c|c|} \hline x\mathbf{x} & y\mathbf{y} \\ \hline 0 & 0 \\ \hline-2 & 42-4^{2} \\ \hline 1 & \square \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The equation given is y=2x y = 2x .
2. We need to find three ordered pair solutions.
3. The table provided has some values of x x and corresponding y y values.
4. We need to complete the table and find the missing y y value for x=1 x = 1 .

STEP 2

1. Verify and correct any errors in the table.
2. Calculate the missing y y value for the given x x .
3. Verify the ordered pairs.
4. Use the ordered pairs to graph the equation.

STEP 3

Verify and correct any errors in the table.
The table shows: xy002421\begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ \hline -2 & -4^2 \\ \hline 1 & \square \\ \hline \end{array}
Notice that the value 42-4^2 is incorrect for y y when x=2 x = -2 . According to the equation y=2x y = 2x , it should be y=2(2)=4 y = 2(-2) = -4 .

STEP 4

Calculate the missing y y value for x=1 x = 1 .
Substitute x=1 x = 1 into the equation y=2x y = 2x :
y=2(1)=2 y = 2(1) = 2

STEP 5

Verify the ordered pairs.
The corrected table is: xy002412\begin{array}{|c|c|} \hline x & y \\ \hline 0 & 0 \\ \hline -2 & -4 \\ \hline 1 & 2 \\ \hline \end{array}
The ordered pairs are (0,0)(0, 0), (2,4)(-2, -4), and (1,2)(1, 2).

STEP 6

Use the ordered pairs to graph the equation.
Plot the points (0,0)(0, 0), (2,4)(-2, -4), and (1,2)(1, 2) on a coordinate plane. Draw a straight line through these points, as they all satisfy the linear equation y=2x y = 2x .

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