The problem is to find the equation of the line shown in the graph. We need to identify two points on the line and then calculate the slope and y-intercept.

1. Problem Description

The problem is to find the equation of the line shown in the graph. We need to identify two points on the line and then calculate the slope and y-intercept.

2. Solution Steps

First, identify two points on the line from the graph. Based on the image, we can identify two points as $(0, 2)$ and $(-3, -4)$.

Second, calculate the slope $m$ using the formula:

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

Substitute the coordinates of the two points $(x_1, y_1) = (0, 2)$ and $(x_2, y_2) = (-3, -4)$ into the slope formula:

$m = \frac{-4 - 2}{-3 - 0} = \frac{-6}{-3} = 2$

Third, find the y-intercept $b$. Since the point $(0, 2)$ is on the line, we know that the y-intercept is 2, i.e., $b=2$.

Fourth, use the slope-intercept form of a linear equation:

$y = mx + b$

Substitute the values of the slope $m=2$ and the y-intercept $b=2$ into the equation:

$y = 2x + 2$

3. Final Answer

$y = 2x + 2$