4
QuizMultiple Choice

Graphing in a Variety of Contexts — Quiz

Question 4 • Mathematics 8

A line passes through the points open paren negative 5 comma 2 close paren and open paren 10 comma negative 1 close paren Which is the equation of the line?

Answer
A
y is equal to negative 5 x minus 23
B
y is equal to 5 x plus 27
C
y is equal to 1 fifth x plus 3
D
y is equal to negative 1 fifth x plus 1

Explanation

The slope through (-5, 2) and (10, -1) is (-1 - 2) / (10 - (-5)) = -3/15 = -1/5. Using y = mx + b with the point (10, -1), we get -1 = (-1/5)(10) + b, so b = 1. Therefore, the equation is y = -1/5 x + 1, choice D.

AI-written and checked against the verified answer.

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