The problem asks to find the slope and $y$-intercept of the line shown in the graph and then write the equation of the line.

1. Problem Description

The problem asks to find the slope and $y$-intercept of the line shown in the graph and then write the equation of the line.

2. Solution Steps

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

Let $(x_1, y_1) = (0, 1)$ and $(x_2, y_2) = (1, 5)$.

The formula for the slope $m$ is:

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

Plugging in the values, we get:

$m = \frac{5 - 1}{1 - 0} = \frac{4}{1} = 4$

The slope of the line is $4$.

The $y$-intercept is the point where the line intersects the $y$-axis. From the graph, we can see that the $y$-intercept is at $y = 1$. So, the $y$-intercept $b$ is $1$.

The equation of a line in slope-intercept form is:

$y = mx + b$

Substituting $m = 4$ and $b = 1$, we get:

$y = 4x + 1$

3. Final Answer

Slope = $4$