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Math  /  Algebra

QuestionFor the following equation, find three ordered pair solutions by completing the table. Then use the order pairs to graph the equation. y=2xy=2 x
Find three ordered pair solutions of the given equation \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 0 & 0 \\ \hline-2 & □\square \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The equation y=2x y = 2x is a linear equation.
2. We need to find three ordered pair solutions that satisfy the equation.
3. The table provides one ordered pair and requires us to find the missing value for y y when x=−2 x = -2 .
4. We will choose an additional value for x x to find a third ordered pair.
5. The ordered pairs will be used to graph the equation.

STEP 2

1. Use the given equation to find the missing value in the table.
2. Choose an additional value for x x and find the corresponding y y .
3. List all three ordered pairs.
4. Use the ordered pairs to graph the equation.

STEP 3

We have the equation y=2x y = 2x .
For x=−2 x = -2 , substitute into the equation to find y y :
y=2(−2) y = 2(-2)

STEP 4

Calculate the value of y y :
y=−4 y = -4
So, the ordered pair is (−2,−4)(-2, -4).

STEP 5

Choose an additional value for x x . Let's choose x=3 x = 3 .
Substitute x=3 x = 3 into the equation:
y=2(3) y = 2(3)

STEP 6

Calculate the value of y y :
y=6 y = 6
So, the ordered pair is (3,6)(3, 6).

STEP 7

List all three ordered pairs:
1. (0,0)(0, 0)
2. (−2,−4)(-2, -4)
3. (3,6)(3, 6)

STEP 8

Use the ordered pairs to graph the equation y=2x y = 2x .
1. Plot the points (0,0)(0, 0), (−2,−4)(-2, -4), and (3,6)(3, 6) on a coordinate plane.
2. Draw a straight line through these points, which represents the equation y=2x y = 2x .

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