The ordered pairs for a linear graph are recorded in the table.x –2 0 1 2y –1 0 12122Select all the equations below that describe this pattern.y = 2x x = 2y y = 𝑥2𝑥2 x = 𝑦2𝑦2Answer

To find the equation that describes the pattern in the table, we need to look at how x and y are related.

1. For the equation y = 2x, if we plug in the x-values from the table, we should get the corresponding y-values if this is the correct equation. Let's test it:

   When x = -2, y = 2*(-2) = -4, which is not equal to the y-value in the table (-1). So, y = 2x is not the correct equation.

2. For the equation x = 2y, if we plug in the y-values from the table, we should get the corresponding x-values if this is the correct equation. Let's test it:

   When y = -1, x = 2*(-1) = -2, which is equal to the x-value in the table. Let's test another point to be sure. When y = 0, x = 2*0 = 0, which is also equal to the x-value in the table. So, x = 2y could be the correct equation.

3. For the equation y = 𝑥2, if we plug in the x-values from the table, we should get the corresponding y-values if this is the correct equation. Let's test it:

   When x = -2, y = (-2)^2 = 4, which is not equal to the y-value in the table (-1). So, y = 𝑥2 is not the correct equation.

4. For the equation x = 𝑦2, if we plug in the y-values from the table, we should get the corresponding x-values if this is the correct equation. Let's test it:

   When y = -1, x = (-1)^2 = 1, which is not equal to the x-value in the table (-2). So, x = 𝑦2 is not the correct equation.

So, the only equation that describes the pattern in the table is x = 2y.