5

Set 12: Linear Functions

Explanation

Answer: A

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

✓ Correct
B.

Quadrant I

C.

Quadrant III

D.

Quadrant IV

Detailed Explanation

Choice A is correct. 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 Q 3/Q 4 (on axis), goes up into Q 4, crosses x-axis into Q 1. 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 Q 3, Q 4, and Q 1. It misses Q 2 (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.

Key Steps:

The correct answer is Quadrant II

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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