Set 4: Linear Functions

Explanation

Answer: A

Find the intersection point of the lines $y = 2x$ and $y = x + 4$ .

$(4, 8)$

✓ Correct

$(2, 4)$

$(4, 4)$

$(-4, -8)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Set equations equal. 1. Equate: $2x = x + 4$ . 2. Solve for x: Subtract $x$ $\rightarrow x = 4$ . 3. Solve for y: Substitute back $\rightarrow y = 2(4) = 8$ . 4. Point: $(4, 8)$ . Strategic Tip: The intersection point is the solution to the system of equations. Choice B is incorrect because check $y=2 x$ ( $4 =4$ ) but $y=x+4$ ( $4 =2+4$ ) fails. Choice C is incorrect because fails first equation. Choice D is incorrect because fails second equation.

Key Steps:

•

The correct answer is $(4, 8)$

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 4: Linear Functions

Detailed Explanation

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