Set 10: Linear Functions

Explanation

Answer: A

Find the area of the triangle formed by the line $2x + 3y = 12$ and the coordinate axes.

$12$

✓ Correct

$6$

$24$

$4$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find intercepts. 1. x-intercept: $2x = 12 \rightarrow x = 6$ . Base = 6. 2. y-intercept: $3y = 12 \rightarrow y = 4$ . Height = 4. 3. Area: $1 /2 \times \text{base} \times \text{height} = 0.5 \times 6 \times 4 = 12$ . Strategic Tip: The axes form a right angle, so intercepts are base and height. Choice B is incorrect because forgot 1/2? Choice C is incorrect because multiplied? Choice D is incorrect.

Key Steps:

•

The correct answer is $12$

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.

← Previous Next →

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→