Question

Which shows how 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)?

A. (x = (-3 - 2) + 2/3)
B. (x = (2 + 3) - 3/3)
C. (x = (-3 - 1)/3)
D. (x = (2 + 3) - 3/3)

Answer 1

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:

1. Substitute x₂ = 3, x₁ = 2 into the equation.
2. Calculate x₂ - x₁ = 3 - 2 = 1.
3. Divide x₁ by 3: 2/3.
4. Add the two results together: 1 + 2/3 = 3/3 + 2/3 = 5/3.
5. Simplify the fraction if needed.