hannahbockting6 hannahbockting6
  • 08-06-2020
  • Mathematics
contestada

Write the equation of a line that is parallel to 3x-2y=5 and passing through the point (-1,3)

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SvetkaChem
SvetkaChem SvetkaChem
  • 08-06-2020

Answer:

y = 3/2 x + 9/2

Step-by-step explanation:

3x - 2y = 5

3x - 5 = 2y

3/2 x - 5/2 = y

y = 3/2 x - 5/2, slope of this line m = 3/2.

For parallel line slope is the same.

y = mx + b

y = 3/2 x + b

Using point (-1,3) , we can find b.

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

3 = -3/2 + b

b = 3 + 3/2 = 6/2 + 3/2 = 9/2

y = 3/2 x + 9/2

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