Set 3: Linear Functions

Explanation

Answer: A

Determine the value of $b$ if the lines $y = 3x + b$ and $y = 3x - 2$ intersect at infinitely many points.

$-2$

✓ Correct

$2$

$3$

$0$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Coincident lines. 1. Slopes: Same (3). 2. Condition: For infinite solutions, intercepts must also be the same. 3. Result: $b = -2$ . Strategic Tip: Same slope + Same intercept = Same line. Choice B is incorrect because sign error. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $-2$

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.

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→