Answer:
The correct answer is option C) 3x + 4y = 13.
Explanation:
To write the equation in standard form, we need to eliminate any fractions. Let's start by simplifying the right side of the equation:
y - 7 = -3/4 (x + 5)
Multiplying both sides of the equation by 4 to get rid of the fraction, we have:
4(y - 7) = -3(x + 5)
Expanding the equation:
4y - 28 = -3x - 15
Rearranging the terms:
3x + 4y = -15 + 28
3x + 4y = 13
So the equation in standard form is 3x + 4y = 13.
Therefore, the correct answer is option C) 3x + 4y = 13.

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