The problem asks us to find the slope and $y$-intercept of a given line on a graph. Then, we need to use these values to write the equation of the line in slope-intercept form.

1. Problem Description

The problem asks us to find the slope and $y$-intercept of a given line on a graph. Then, we need to use these values to write the equation of the line in slope-intercept form.

2. Solution Steps

First, we need to find two points on the line. From the graph, we can identify the points $(-5, 0)$ and $(0, 1)$.

Next, we can find the slope $m$ using the formula:

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

Using the points $(-5, 0)$ and $(0, 1)$, we have:

$m = \frac{1 - 0}{0 - (-5)} = \frac{1}{5}$

The $y$-intercept is the point where the line crosses the $y$-axis, which is $(0, 1)$. Thus, $b = 1$.

The slope-intercept form of a line is given by:

$y = mx + b$

Substituting the values we found for $m$ and $b$, we get:

$y = \frac{1}{5}x + 1$

3. Final Answer

y-intercept: $(0, 1)$

Slope: $\frac{1}{5}$

Equation of the line:

$y = \frac{1}{5}x + 1$