8

Set 6: Linear Functions (Intermediate)

Explanation

Answer: A

Find the value of kk if the line passing through (2,3)(2, 3) and (4,k)(4, k) has a slope of 4.

A.

1111

✓ Correct
B.

55

C.

77

D.

99

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Use the slope formula and solve for kk. 1. Formula: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1} 2. Substitute: 4=k3424= \frac{k - 3}{4 - 2} 3. Simplify: 4=k324= \frac{k - 3}{2} 4. Solve: Multiply by 2 8=k3\rightarrow 8 = k - 3. Add 3 k=11\rightarrow k = 11. Strategic Tip: Set up the equation with the unknown variable and solve it like any other algebra problem. Choice B is incorrect because it might result from not multiplying by the run. Choice C is incorrect because it might result from addition errors. Choice D is incorrect because it might result from calculation errors.

Key Steps:

The correct answer is 1111

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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