Find the equation of the line through the points (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 is B

Equation through (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