68
QuizMultiple Choice

N/A — Exam

Question 68 • Algebra II

If m is less than 0 and b is greater than 0 , the graph of y is equal to m x plus b does not pass through which quadrant?

Answer
A
Quadrant IV
B
Quadrant II
C
Quadrant III
D
Quadrant I

Explanation

Since m is negative and b is positive, the line crosses the y-axis above the origin. For x < 0, the product mx is positive, so y = mx + b is also positive; the graph is in Quadrant II, not Quadrant III. For positive x, the line is in Quadrant I near the y-axis and eventually enters Quadrant IV, so it does not pass through Quadrant III.

AI-written and checked against the verified answer.

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