10
algebra

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

B

55

C

77

D

99

Correct Answer: A

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.