For each of the following given below, find the slope and the y-intercept.
`3y=7`

Answer

To find the slope and the y-intercept of the equation \(3y = 7\), we will follow these steps:

### Step 1: Rewrite the equation in slope-intercept form
The slope-intercept form of a line is given by the equation:
\[ y = mx + c \]
where \(m\) is the slope and \(c\) is the y-intercept. To convert the given equation \(3y = 7\) into this form, we need to isolate \(y\).

### Step 2: Isolate \(y\)
To isolate \(y\), divide both sides of the equation by 3:
\[ y = \frac{7}{3} \]

### Step 3: Identify the slope and y-intercept
Now, we can compare this with the slope-intercept form \(y = mx + c\):
- Here, there is no \(x\) term, which means the coefficient of \(x\) (or \(m\)) is 0.
- The constant term (or \(c\)) is \(\frac{7}{3}\).

Thus, we have:
- Slope \(m = 0\)
- Y-intercept \(c = \frac{7}{3}\)

### Final Answer:
- Slope: \(0\)
- Y-intercept: \(\frac{7}{3}\)

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