Final answer:
To find the x-coordinate of the point that will divide AB into a 2:3 ratio, we can use the formula (x = (x₂ - x₁) + x₁/3). The correct option is D. (x = (2 + 3) - 3/3).
Step-by-step explanation:
To find the x-coordinate of the point that will divide AB into a 2:3 ratio using the formula (x = (x₂ - x₁) + x₁/3), we need to substitute the given values into the equation. The correct option is D. (x = (2 + 3) - 3/3). Let's break down the steps:
- Substitute x₂ = 3, x₁ = 2 into the equation.
- Calculate x₂ - x₁ = 3 - 2 = 1.
- Divide x₁ by 3: 2/3.
- Add the two results together: 1 + 2/3 = 3/3 + 2/3 = 5/3.
- Simplify the fraction if needed.