Question

Which shows the linear equation y² = (1/6)(x - 12) written in standard form?

1) y = (1/6)x - 2
2) y = (1/6)x + 2
3) y = (1/6)x - 12
4) y = (1/6)x + 12

Answer 1

The linear equation y² = (1/6)(x - 12) can be written in standard form as y = (1/6)x - 2.

Step-by-step explanation:

The linear equation y² = (1/6)(x - 12) can be written in standard form as y = (1/6)x - 2.

Here's how to convert it:

1. Start with the given equation: y² = (1/6)(x - 12)
2. Take the square root of both sides to isolate y: y = ±√((1/6)(x - 12))
3. Since y cannot be negative, we can ignore the negative square root
4. Simplify the expression inside the square root: y = √((x - 12)/6)
5. Multiply both the numerator and denominator by 6 to clear the fraction: y = (1/6)x - 2