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a. Put each equation in y = mx + b format. HANDWRITTEN FOR 4-6

1. y = 5x - 4
2. y = - 2x + 3
3. y = 3x + 1
4. 2y = 6x + 2
5. y - 5x = 2
6. y - 4x + 1 = 0

1 answer

Here are the equations converted to the \( y = mx + b \) format, where \( m \) is the slope and \( b \) is the y-intercept:

  1. \( y = 5x - 4 \) (Already in the desired form)

  2. \( y = -2x + 3 \) (Already in the desired form)

  3. \( y = 3x + 1 \) (Already in the desired form)

  4. Start with \( 2y = 6x + 2 \). Divide both sides by 2:
    \( y = 3x + 1 \)

  5. Start with \( y - 5x = 2 \). Add \( 5x \) to both sides:
    \( y = 5x + 2 \)

  6. Start with \( y - 4x + 1 = 0 \). Rearranging gives:
    \( y = 4x - 1 \)

So the results are:

  1. \( y = 5x - 4 \)
  2. \( y = -2x + 3 \)
  3. \( y = 3x + 1 \)
  4. \( y = 3x + 1 \)
  5. \( y = 5x + 2 \)
  6. \( y = 4x - 1 \)