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AssignmentMultiple Select

Writing Two-Variable Linear Equations

Question 8 • 26/27 ALGEBRA II A

Select the three equations that pass through the points (–4, –16) and (5, 2):y + 4 = 2(x – 16)y – 2 = 2(x – 5)y = 2x – 8y + 16 = 2(x + 4)

Answer
A
y + 4 = 2(x – 16)
B
y – 2 = 2(x – 5)
C
y = 2x – 8
D
y + 16 = 2(x + 4)

Explanation

The slope through (–4, –16) and (5, 2) is (2 – (–16)) / (5 – (–4)) = 18 / 9 = 2. Choice B uses slope 2 and the point (5, 2), while choice D uses slope 2 and the point (–4, –16), so both pass through the given points. The line also simplifies to y = 2x – 8, which is choice C. Choice A does not use a matching point with slope 2.

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