10
QuizMultiple Choice

Write Linear Equations using Two Points

Question 10 • Applications and Modeling

Find the equation of the line specified.The line passes through the points ( -2, 3) and ( -4, 7)

Answer
A
y = -2x - 1
B
y = -2x + 3
C
y = -4x - 1
D
y = -2x + 7

Explanation

The slope through the points is (7 − 3) ÷ (−4 − (−2)) = 4 ÷ (−2) = −2. Using y = mx + b and the point (−2, 3), we get 3 = (−2)(−2) + b, so b = −1. The equation is y = −2x − 1, choice A.

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