The problem asks us to find the slope and y-intercept of the given line and then write the equation of the line. The y-intercept is given.

1. Problem Description

The problem asks us to find the slope and y-intercept of the given line and then write the equation of the line. The y-intercept is given.

2. Solution Steps

First, we need to find the slope of the line. The image shows a line that passes through the points $(0, 10)$ and $(8, 6)$. The slope $m$ is given by the formula:

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

Using the points $(0, 10)$ and $(8, 6)$, we have:

$m = \frac{6 - 10}{8 - 0} = \frac{-4}{8} = -\frac{1}{2}$

The y-intercept is the point where the line crosses the y-axis, which is given as $(0, 10)$. Therefore, $b = 10$.

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

$y = mx + b$

Plugging in the slope $m = -\frac{1}{2}$ and the y-intercept $b = 10$, we have:

$y = -\frac{1}{2}x + 10$

3. Final Answer

$-\frac{1}{2}$