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AssignmentMultiple Select

Lesson 3.2: Writing Two-Variable Linear Equations

Question 6 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Select the three equations that pass through the points (–4, –16) and (5, 2):

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. Using (5, 2), the line is y – 2 = 2(x – 5), which simplifies to y = 2x – 8. Thus B, C, and D are equivalent equations for the line; A does not simplify to this line.

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