Ask a New Question
Menu

here is the order pair plotted as a point together with the linear equation y=x+2 is your ordered pair correct

5 answers

To determine if a given ordered pair \((x, y)\) satisfies the linear equation \(y = x + 2\), simply plug the \(x\) value from the ordered pair into the equation and see if you get the corresponding \(y\) value.

For example, if the ordered pair is \((x, y)\):

  1. Calculate \(y\) using the equation: \(y = x + 2\).
  2. Check if the calculated \(y\) equals the \(y\) value in the ordered pair.

If both values match, then the ordered pair is correct for the equation.

If you provide an actual ordered pair, I can help you determine whether it satisfies the equation \(y = x + 2\).

order pair 8,-4

Let's check if the ordered pair \((8, -4)\) satisfies the linear equation \(y = x + 2\).

  1. Substitute \(x = 8\) into the equation:

    \[ y = 8 + 2 \]

    \[ y = 10 \]

  2. Now compare the calculated \(y\) value with the given \(y\) in the ordered pair:

    The ordered pair is \((8, -4)\), where \(y = -4\) and we calculated \(y\) to be \(10\).

Since \(-4 \neq 10\), the ordered pair \((8, -4)\) does not satisfy the equation \(y = x + 2\).

wait explain why its right ot wrong

Sure! Let's break it down step by step to understand why the ordered pair \((8, -4)\) does not satisfy the equation \(y = x + 2\):

Steps to Check an Ordered Pair

  1. Understanding the Equation:

    • The equation \(y = x + 2\) means that for any given \(x\), you can find \(y\) by adding \(2\) to that \(x\).

  2. Ordered Pair Given:

    • The ordered pair \((8, -4)\) consists of:
      • \(x = 8\)
      • \(y = -4\)

  3. Substituting \(x\) into the Equation:

    • Substitute \(8\) (the \(x\) value) into the equation: \[ y = 8 + 2 \]
    • Calculate the right-hand side: \[ y = 10 \]

  4. Comparing Calculated \(y\) with Given \(y\):

    • From the equation, when \(x = 8\), we calculated \(y\) to be \(10\).
    • However, in the ordered pair \((8, -4)\), the \(y\) value is \(-4\).

  5. Conclusion:

    • The calculated \(y\) value \(10\) does not match the \(y\) value of the ordered pair, which is \(-4\).
    • Since the two values do not match, the ordered pair \((8, -4)\) does not satisfy the equation \(y = x + 2\).

Summary

  • For \((8, -4)\) to be correct in the context of the equation \(y = x + 2\), it would need to provide \(y = 10\) when \(x = 8\), but it gives \(y = -4\).
  • Therefore, the ordered pair is incorrect in satisfying the equation.