For each of the equations given below, find the slope and the y intercept.
`4y+9=0`

Answer

To find the slope and the y-intercept of the equation \(4y + 9 = 0\), we will follow these steps:

### Step 1: Rearrange the equation to the 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. We start with the equation:

\[ 4y + 9 = 0 \]

### Step 2: Isolate \(y\)
To isolate \(y\), we first subtract 9 from both sides:

\[ 4y = -9 \]

Next, we divide both sides by 4:

\[ y = -\frac{9}{4} \]

### Step 3: Identify the slope and y-intercept
Now, we can compare this with the slope-intercept form \(y = mx + c\). In our case:

- The coefficient of \(x\) (which is the slope \(m\)) is 0 because there is no \(x\) term in the equation.
- The constant term (which is the y-intercept \(c\)) is \(-\frac{9}{4}\).

Thus, we find:

- Slope \(m = 0\)
- Y-intercept \(c = -\frac{9}{4}\)

### Final Answer
- Slope: \(0\)
- Y-intercept: \(-\frac{9}{4}\)

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