Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
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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
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