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: Option B
Explanation
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
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