7

Set 16: Linear Functions (Advanced)

Explanation

Answer: A

Write the equation of the line with slope 3 passing through (−1,−2)(-1, -2) in point-slope form.

A.

y+2=3(x+1)y + 2 = 3(x + 1)

✓ Correct
B.

y−2=3(x−1)y - 2 = 3(x - 1)

C.

y+2=3(x−1)y + 2 = 3(x - 1)

D.

y−2=3(x+1)y - 2 = 3(x + 1)

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Substitute. 1. Formula: y−y1=m(x−x1)y - y_1 = m(x - x_1). 2. Substitute: y−(−2)=3(x−(−1))y - (-2) = 3(x - (-1)). 3. Simplify: y+2=3(x+1)y + 2 = 3(x + 1). Strategic Tip: Minus a negative is a plus. Choice B is incorrect because sign error. Choice C is incorrect because x-sign error. Choice D is incorrect because y-sign error.

Key Steps:

•

The correct answer is y+2=3(x+1)y + 2 = 3(x + 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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