Final answer:
Unfortunately, after substituting the point (-7, 5) into each of the given answer choices, none of the equations A, B, C, or D resulted in a correct equation for a line passing through that point. It appears there may be an error in the provided choices.
Step-by-step explanation:
The question involves finding the equation of a line identical to 4x - 5y = 7 that passes through the point (-7, 5). The given equation is already in linear form, which implies any line parallel to it will have the same slope. The different answer choices represent different linear equations, and we are tasked with determining which of these would pass through the specified point. We can substitute the point (-7, 5) into each equation to see which one is true.
Let's plug the point into the original equation:
4(-7) - 5(5) = -28 - 25 = -53, which is not equal to 7, showing that the point (-7, 5) does not lie on the line represented by the given equation.
However, for the equation to be correct for the point (-7, 5), it must satisfy the condition after substituting x and y values.
For choice A :
4(-7) - 5(5) = -53 which is not equal to 7.
For choice B:
4(-7) + 5(5) = -28 + 25 = -3 which is not equal to 7.
For choice C:
5(-7) - 4(5) = -35 - 20 = -55 which is not equal to 7.
For choice D:
5(-7) + 4(5) = -35 + 20 = -15 which is not equal to 7.
Thus, none of the provided choices A, B, C, or D would result in an equation of a line passing through the point (-7, 5). There might be an error in the question or answer choices, as none of the choices match the conditions provided.