The problem asks to find the y-intercept and the slope of the given line, and then to write the equation of the line in slope-intercept form.

1. Problem Description

The problem asks to find the y-intercept and the slope of the given line, and then to write the equation of the line in slope-intercept form.

2. Solution Steps

First, we determine the y-intercept of the line. The line intersects the y-axis at the point (0, -3). Therefore, the y-intercept is -

3.

Next, we determine the slope of the line. We need to find two points on the line. From the graph, we can choose the points (0, -3) and (2, -1).

The formula for the slope $m$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points (0, -3) and (2, -1), we have $x_1 = 0$, $y_1 = -3$, $x_2 = 2$, and $y_2 = -1$.

Plugging these values into the formula, we get:

$m = \frac{-1 - (-3)}{2 - 0} = \frac{-1 + 3}{2} = \frac{2}{2} = 1$

Therefore, the slope of the line is

1.

Now, we need to write the equation of the line in slope-intercept form, which is:

$y = mx + b$

where $m$ is the slope and $b$ is the y-intercept.

We found that $m = 1$ and $b = -3$. Substituting these values into the equation, we get:

$y = 1x + (-3)$

$y = x - 3$

3. Final Answer

The y-intercept of the line is at (0, -3).

The slope of the line is

1. The equation of the line is $y = x - 3$.