What is the y-intercept for the equation x=3y-6=0?
y-int is 2
x=0
3y-6=0
3y=6
3y/3=6/3
y=2
To find the y-intercept of the equation x = 3y - 6 = 0, we need to rearrange the equation to solve for y. The y-intercept occurs when x = 0.
1. Start with the given equation: x = 3y - 6 = 0.
2. Add 6 to both sides of the equation to isolate the 3y term: x + 6 = 3y.
3. Divide both sides of the equation by 3 to solve for y: (x + 6) / 3 = y.
Now we have the equation in the form y = mx + b, where m is the slope and b is the y-intercept.
4. Simplify the equation: y = (x + 6) / 3.
The equation tells us that the y-intercept is 6/3, which simplifies to 2. Therefore, the y-intercept is 2.