3
algebra

A line passes through (2,k)(2, k) and (5,10)(5, 10). If the slope is 2, what is kk?

A

44

B

66

C

1616

D

88

Correct Answer: A

Choice A is the correct answer. Use slope formula.

  1. Substitute: 2=10k522 = \frac{10 - k}{5 - 2}.
  2. Simplify: 2=10k32 = \frac{10 - k}{3}.
  3. Solve: 6=10kk=46 = 10 - k \rightarrow k = 4.

💡 Strategic Tip: You can also work backwards: If slope is 2, going back 3 steps in x (5 to 2) means going back 6 steps in y (10 to 4).

Choice B is incorrect.Choice C is incorrect.Choice D is incorrect.