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