2
QuizMultiple Choice

Writing Two-Variable Linear Equations — Quiz

Question 2 • Algebraic Reasoning

What is the equation of a line that passes through the points open paren 3 comma 6 close paren and open paren 8 comma 4 close paren ?

Answer
A
y is equal to 5 halves x minus 3 halves
B
y is equal to negative 2 fifths x plus 36 fifths
C
y is equal to negative 2 fifths x minus 24 fifths
D
y is equal to 5 halves x minus 27 halves

Explanation

The slope through (3, 6) and (8, 4) is (4 − 6)/(8 − 3) = −2/5. Substitute (3, 6) into y = mx + b: 6 = (−2/5)(3) + b, so b = 36/5. The equation is y = −2/5x + 36/5, choice B.

AI-written and checked against the verified answer.

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