For equations given below find the slope and the y- intercept.
` 2y + 5 =0 `

Answer

To find the slope and the y-intercept of the equation \(2y + 5 = 0\), we will follow these steps:

### Step 1: Rearrange the equation to solve for \(y\).
We start with the equation:
\[ 2y + 5 = 0 \]
To isolate \(y\), we first subtract 5 from both sides:
\[ 2y = -5 \]
Next, we divide both sides by 2:
\[ y = -\frac{5}{2} \]

### Step 2: Identify the slope and the y-intercept.
Now, we compare our rearranged equation \(y = -\frac{5}{2}\) with the slope-intercept form of a linear equation, which is:
\[ y = mx + c \]
where \(m\) is the slope and \(c\) is the y-intercept.

In our equation:
- There is no \(x\) term, which means the coefficient of \(x\) is 0.
- The constant term is \(-\frac{5}{2}\).

Thus, we can conclude:
- The slope \(m = 0\)
- The y-intercept \(c = -\frac{5}{2}\)

### Final Answer:
- Slope: \(0\)
- Y-intercept: \(-\frac{5}{2}\)

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