The problem requires us to find the slope and y-intercept of the line shown in the graph, and then write the equation of the line using these values.

1. Problem Description

The problem requires us to find the slope and y-intercept of the line shown in the graph, and then write the equation of the line using these values.

2. Solution Steps

First, we need to find two points on the line to calculate the slope. From the graph, we can identify the points $(0, 2)$ and $(2, 8)$.

The slope $m$ is given by the formula:

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

Using the identified points $(0, 2)$ and $(2, 8)$, we have $x_1 = 0$, $y_1 = 2$, $x_2 = 2$, and $y_2 = 8$.

So, $m = \frac{8 - 2}{2 - 0} = \frac{6}{2} = 3$.

The y-intercept is the point where the line intersects the y-axis, which is the value of $y$ when $x = 0$. From the graph or the point $(0, 2)$, we can see that the y-intercept is

2. Let's denote this by $b = 2$.

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

$y = mx + b$

Substituting the values we found for $m$ and $b$, we get $y = 3x + 2$.

3. Final Answer

$y = 3x + 2$