Set 17: Linear Functions

Explanation

Answer: A

Identify the slope and a point on the line from the equation $y + 1 = 3(x - 2)$ .

Slope: $3$ , Point: $(2, -1)$

✓ Correct

Slope: $3$ , Point: $(-2, 1)$

Slope: $1$ , Point: $(2, 3)$

Slope: $3$ , Point: $(-2, -1)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Read directly from point-slope form. 1. Form: $y - y_1 = m(x - x_1)$ . 2. Match: $m = 3$ , $x_1 = 2$ , $y_1 = -1$ (since $y - (-1) = y+1$ ). 3. Result: Slope 3, Point $(2, -1)$ . Strategic Tip: Flip the signs of the numbers inside the equation to get the point coordinates. Choice B is incorrect because it flips the signs incorrectly. Choice C is incorrect because it confuses variables. Choice D is incorrect because it flips the x-sign incorrectly.

Key Steps:

•

The correct answer is Slope: $3$ , Point: $(2, -1)$

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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Set 17: Linear Functions

Detailed Explanation

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