Home » find then equation line through (5, 7) parallel to the line 7x + 5y =…

find then equation line through (5, 7) parallel to the line 7x + 5y =…

find then equation line through (5, 7) parallel to the line 7x + 5y = 12
  • A.
    5x + 7y = 120
  • B.
    7x + 5y = 70
  • C.
    x + y = 7
  • D.
    15x + 17y = 90
Correct Answer: Option B
Explanation

Equation (5, 7) parallel to the line 7x + 5y = 12
5Y = -7x + 12
y = (frac{-7x}{5}) + (frac{12}{5})
Gradient = (frac{-7}{5})
∴ Required equation = (frac{y – 7}{x – 5}) = (frac{-7}{5}) i.e. 5y – 35 = -7x + 35
5y + 7x = 70

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