Set 11: Linear Functions (Advanced)
Explanation
In the equation , if is positive and is negative, which quadrant does the line NOT pass through?
Quadrant II
Quadrant I
Quadrant III
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 (), 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
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