kimmyshe77 kimmyshe77
  • 11-11-2020
  • Mathematics
contestada

(1,2) and parallel to 3x+4y=12

Respuesta :

goddessboi goddessboi
  • 11-11-2020

Answer:

y=-3/4x+10/4

Step-by-step explanation:

1) Change given equation to slope intercept form:

3x+4y=12

4y=12-3x

y=3-(3/4)x

y=-(3/4)x+3

2) Parallel lines have the same slope, so the first part of the equation is:

y=-(3/4)x+b

3) To find b, we plug in y=2 and x=1 given the prompt:

2=-(3/4)(1)+b

2=-3/4+b

2 3/4=b

10/4=b

4) Therefore, the correct equation is:

y=-3/4x+10/4

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