Check each equation whose graph is the line that contains the points (4, –7) and (1, 5).

The slope through (4, −7) and (1, 5) is (5 − (−7))/(1 − 4) = 12/−3 = −4. Using (4, −7), point-slope form gives y + 7 = −4(x − 4), which is choice D. Simplifying gives y = −4x + 9, choice A; rearranging gives 4x + y = 9, choice E. These are three equivalent equations for the line.

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