6
QuizMultiple Choice

Write Linear Equations using Two Points

Question 6 • Applications and Modeling

Find the equation of the line specified.The line passes through the points ( 5, 2) and ( 6, 4)

Answer
A
y = 2x - 8
B
y = 4x - 8
C
y = 2x + 12
D
y = 2x + 2

Explanation

The slope through (5, 2) and (6, 4) is (4 − 2) ÷ (6 − 5) = 2. Use y = mx + b and substitute (5, 2): 2 = 2(5) + b, so b = −8. Therefore, the equation is y = 2x − 8, which is choice A.

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