enter each of the x-values into the equation y=1/4x + 2 to find the y-values.

3 answers

To find the y-values for the equation \( y = \frac{1}{4}x + 2 \), you can plug in various x-values into the equation. Here are some example x-values and their corresponding y-values:

  1. If \( x = 0 \): \[ y = \frac{1}{4}(0) + 2 = 2 \]

  2. If \( x = 4 \): \[ y = \frac{1}{4}(4) + 2 = 1 + 2 = 3 \]

  3. If \( x = 8 \): \[ y = \frac{1}{4}(8) + 2 = 2 + 2 = 4 \]

  4. If \( x = 12 \): \[ y = \frac{1}{4}(12) + 2 = 3 + 2 = 5 \]

  5. If \( x = 16 \): \[ y = \frac{1}{4}(16) + 2 = 4 + 2 = 6 \]

  6. If \( x = -4 \): \[ y = \frac{1}{4}(-4) + 2 = -1 + 2 = 1 \]

  7. If \( x = -8 \): \[ y = \frac{1}{4}(-8) + 2 = -2 + 2 = 0 \]

You can choose any other x-values and use the formula to calculate the corresponding y-values. If you have specific x-values in mind, please share them, and I can help calculate the corresponding y-values!

-8
-4
0
4
8

Let's calculate the y-values for the given x-values \(-8\), \(-4\), \(0\), \(4\), and \(8\) using the equation \( y = \frac{1}{4}x + 2 \).

  1. For \( x = -8 \): \[ y = \frac{1}{4}(-8) + 2 = -2 + 2 = 0 \]

  2. For \( x = -4 \): \[ y = \frac{1}{4}(-4) + 2 = -1 + 2 = 1 \]

  3. For \( x = 0 \): \[ y = \frac{1}{4}(0) + 2 = 0 + 2 = 2 \]

  4. For \( x = 4 \): \[ y = \frac{1}{4}(4) + 2 = 1 + 2 = 3 \]

  5. For \( x = 8 \): \[ y = \frac{1}{4}(8) + 2 = 2 + 2 = 4 \]

Now, summarizing the results:

  • For \( x = -8 \), \( y = 0 \)
  • For \( x = -4 \), \( y = 1 \)
  • For \( x = 0 \), \( y = 2 \)
  • For \( x = 4 \), \( y = 3 \)
  • For \( x = 8 \), \( y = 4 \)

You now have the corresponding y-values for each x-value!