3
algebra

Calculate the slope from the table: x | 2 | 4 | 6 y | 5 | 9 | 13

A

22

B

44

C

12\frac{1}{2}

D

0.50.5

Correct Answer: A

Choice A is the correct answer. Use differences in the table.

  1. Change in y: 95=49 - 5 = 4.
  2. Change in x: 42=24 - 2 = 2.
  3. Slope: ΔyΔx=42=2\frac{\Delta y}{\Delta x} = \frac{4}{2} = 2.

💡 Strategic Tip: Don't just look at the y-change! You must divide by the x-change.

Choice B is incorrect because it is just Δy\Delta y. Choice C is incorrect because it is ΔxΔy\frac{\Delta x}{\Delta y}. Choice D is incorrect because it is ΔxΔy\frac{\Delta x}{\Delta y}.