Question

5y = -3
slope and y intersection

Answer 1

y = negative 3/5.

Answer 2

To analyze the equation \(5y = -3\) for its slope and y-intercept, we first need to rewrite it in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Starting with the given equation:

\[
5y = -3
\]

We divide both sides by 5:

\[
y = -\frac{3}{5}
\]

This indicates that \(y\) is constant, and there is no \(x\) term present, which means the slope \(m = 0\).

**Slope (m):** 0
**Y-Intercept (b):** \(-\frac{3}{5}\)

So, the slope of the line is 0, meaning it is a horizontal line, and the y-intercept is \(-\frac{3}{5}\).

Answer 3

The equation \(y = -\frac{3}{5}\) represents a horizontal line in the Cartesian coordinate system.

**1. Slope (m):** Since it is a horizontal line, the slope is \(0\).

**2. Y-Intercept (b):** In the equation \(y = -\frac{3}{5}\), the y-intercept, which is the value of \(y\) when \(x = 0\), is \(-\frac{3}{5}\).

### Summary:
- **Slope (m):** 0
- **Y-Intercept (b):** \(-\frac{3}{5}\)

This means that the line will run parallel to the x-axis at the height of \(-\frac{3}{5}\) on the y-axis.