SamCerone10 SamCerone10
  • 20-01-2021
  • Mathematics
contestada

What is an equation of the line that passes through the point (-3,-5) and is
parallel to the line 2x + 3y = 15?

Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 21-01-2021

Answer:

        2x + 3y = - 21

Step-by-step explanation:

Two lines in standard form (Ax+By=C) are parallel if their numbers by x end by y (A and B) are the same.

So every line: 2x + 3y = C is parallel to 2x + 3y = 15.

If we want line that passes through given point we just need to place x-coordinate and y-coordinate of the point into x and y from equation to calculate C:

2x + 3y = C          and  point (-3, -5)

2(-3) + 3(-5) = C

- 6 - 15 = C

C = -21

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