5
QuizMultiple Choice

Graphing in a Variety of Contexts — Quiz

Question 5 • Mathematics 8

A line passes through the points open paren negative 6 comma 4 close paren and open paren negative 2 comma 2 close paren Which is the equation of the line?

Answer
A
y is equal to negative 2 x minus 8
B
y is equal to negative 1 half x plus 1
C
y is equal to 2 x plus 16
D
y is equal to 1 half x plus 7

Explanation

The slope is (2 − 4) ÷ [−2 − (−6)] = −2 ÷ 4 = −1/2. Substituting the point (−2, 2) into y = −1/2x + b gives 2 = 1 + b, so b = 1. Therefore, the line is y = −1/2x + 1, choice B.

AI-written and checked against the verified answer.

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