2

Set 7: Linear Functions (Advanced)

Explanation

Answer: A

Calculate the slope of the line passing through (−3,4)(-3, 4) and (2,−1)(2, -1).

A.

−1-1

✓ Correct
B.

11

C.

−5-5

D.

−15-\frac{1}{5}

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Be careful with negative signs in the formula. 1. Formula: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1} 2. Substitute: m=−1−42−(−3)m = \frac{-1 - 4}{2 - (-3)} 3. Simplify: m=−52+3=−55=−1m = \frac{-5}{2 + 3} = \frac{-5}{5} = -1 Strategic Tip: 2−(−3)2- (-3) becomes 2+32+ 3. Double negatives are a common trap! Choice B is incorrect because it misses the negative sign. Choice C is incorrect because it forgets to divide by the run. Choice D is incorrect because it flips rise and run.

Key Steps:

•

The correct answer is −1-1

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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