Provide the equation of the line shown in the graph.

The image shows a straight line graphed on a Cartesian coordinate system.

We can identify two points on the line to determine its equation. Let's pick the point where the line crosses the y-axis and another point where it crosses the x-axis.

From the graph, we can see that the line intersects the y-axis at the point (0, -1). This is the y-intercept.

The line also intersects the x-axis. To find this point, we can observe where the line crosses grid lines. It appears to cross the x-axis at approximately (2, 0).

Now, we can calculate the slope ($$m$$) of the line using the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$

Using the points (0, -1) and (2, 0):

\[ m = \frac{0 - (-1)}{2 - 0} = \frac{1}{2} \]

So, the slope of the line is $$\frac{1}{2}$$.

The equation of a straight line is given by the slope-intercept form: $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept.

We found that $$m = \frac{1}{2}$$ and the y-intercept $$b = -1$$.

Therefore, the equation of the line is:

\[ y = \frac{1}{2}x - 1 \]

Ответ: $$y = \frac{1}{2}x - 1$$