Respuesta :

mhanifa

Answer:

  • y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

Given line:

  • 3x + 5y = 15

Converting into slope-intercept form:

  • 3x + 5y = 15
  • 5y = - 3x + 15
  • y = -3/5x + 3

Parallel lines have the same slope, so the parallel line will be:

  • y = -3/5x + b

Using given point (-5, -3) finding the y-intercept:

  • -3 = -3/5(-5) + b
  • -3 = 3 + b
  • b = -3 - 3
  • b = -6

So the line is:

  • y = -3/5x - 6

Or converted into standard form:

  • y = - 3/5x - 6
  • 3/5x + y = -6
  • 3x + 5y = -30