Question

Which of the following equations is equivalent to y + 3 = -4(x - 2)?

Answer 1

D. y= -4x +5

Explanation:

• The equation
  `y+3=-4(x-2)` can be transformed by doing some algebra.
• If we solve the second term of the equation -4(x-2)= 8 - 4x, then we have
  `y+3=8-4x` (this is done by distributing the multiplication into the two terms: remember that the product of -4x(-2)=+8 because the product of two negative numbers is a possitive number).
• Then, by subtracting both sides 3, we have
  `y=5-4x`. Rearranging terms in the right side, we have
  `y=-4x+5`, which is option D.