Respuesta :

Answer:

  • D. -2x + 2y = 1

Step-by-step explanation:

When the line is given in standard form:

  • ax + by = c, it has slope of -a/b

Given line:

  • 4x + 4y = 3

It has a slope:

  • m = -4/4 = -1

A line perpendicular to the given should have a slope m = 1 as negative reciprocal to the given

Let's see which line has the slope of 1:

  • 1. m = -(-1)/6 = 1/6 - NO
  • 2. m = -4/4 = -1 - NO
  • 3. m = -2/4 = -1/2 - NO
  • 4. m = -(-2)/2 = 1 - YES

Correct option is D