10
algebra

In the equation y=mx+by = mx + b, if mm is positive and bb is negative, which quadrant does the line NOT pass through?

A

Quadrant II

B

Quadrant I

C

Quadrant III

D

Quadrant IV

Correct Answer: A

Choice A is the correct answer. Visualize the line.

  1. Intercept: Negative y-intercept (Starts below origin).
  2. Slope: Positive (Goes uphill).
  3. Path: Starts in Q3/Q4 (on axis), goes up into Q4, crosses x-axis into Q1.
  4. Missed: It goes from bottom-left to top-right, but since it starts low (b<0b<0), it crosses the x-axis to the right of the origin. It passes through Q3, Q4, and Q1. It misses Q2 (Top-Left).

💡 Strategic Tip: Sketch it: Start at -5 on y-axis, draw a line going up. It never touches the top-left corner.

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.

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Linear Functions Set 96