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The correct answer would be A.

We can immediately eliminate C and D because they have the slope listed as 2 rather than -2.

Because we're looking for the line that passes through (1, 5), we know that the y-intercept has to be 7, because from (0, 7) we get to (1, 5) when we apply the slope of -2.

Thus, the answer is A.

The equation that represents the line that passes through the point (1,5) and has a slope of -2 is y = -2x + 7

Slope intercept equation:

  • y = mx + b

where

m = slope

b = y-intercept

Therefore,

m = -2

Using (1, 5) let's find b

y = -2x + b

5 = -2(1) + b

5 + 2 = b

b = 7

Therefore,

y = -2x + 7

learn more on slope intercept form equation: https://brainly.com/question/14169257?referrer=searchResults

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