Respuesta :

rsd05

Answer:

[tex]y = -3x + 5[/tex]

Step-by-step explanation:

  1. The slope of a perpendicular line to the original equation is the opposite reciprocal of the slope of the original equation. This makes the opposite reciprocal -3, so the slope of the perpendicular line is -3.
  2. Now that we have found the slope, we will put it into the formula for slope, y = mx + b. This results in getting y = -3x + b.
  3. We know the values for x and y, (1,2) respectively. Plug these values into y = -3x + b.
  4. 2 = -3(1) + b
  5. b = 5
  6. This means that 5 is your y intercept and goes into place for b
  7. Therefore, your resulting equation is y = -3x + 5