Question

In the equation 1/6x=1/3 -y, what is the y-intercept?

A) y= -1/3
B) y=1/3
C) y=1/6
D) y=-1/6

Answer 1

The y-intercept of the equation 1/6x=1/3 - y is found by isolating y, which results in y = 1/3 when x equals 0. Therefore, the correct answer is option B) y=1/3.

Step-by-step explanation:

To find the y-intercept of the equation 1/6x=1/3 - y, we need to isolate y. Here's a step-by-step explanation:

1. Start with the given equation: 1/6x = 1/3 - y.
2. To isolate y, we want all terms containing y on one side and constants on the other. Therefore, we add y to both sides to get y + 1/6x = 1/3.
3. Now, subtract 1/6x from both sides to fully isolate y: y = 1/3 - 1/6x.
4. Since we need the y-intercept, we are interested in the value of y when x equals 0. Substituting 0 for x in the equation gives us y = 1/3 - 1/6(0).
5. Simplifying this gives us y = 1/3 - 0, which means y = 1/3.

Therefore, the y-intercept is at y = 1/3, which corresponds to option B.