Answer:y = 1/2x - 2Step-by-step explanation:Given points (0, -2) and (8, 2) from the graph:We can use these values to solve for the slope:[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]where: x1 = 0, x2 = 8y1 = -2, y2 = 2[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{2 - (-2)}{8 - 0} = \frac{2 + 2}{8} = \frac{4}{8} = \frac{1}{2}[/tex]Therefore, our slope is 1/2. Next, we can determine the value of the y-intercept, which is the the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. If you look either at the graph, or one of the points we used to solve for the slope, you'll see that (0, -2) gives us the y-intercept, -2. Another way to find out the value of the line's y-intercept is to plug in the values of one of the points on the graph into the slope-intercept form y = mx + b:Let's choose the ordered pair, (8, 2), and our slope, m = 1/2:y = mx + b2 = [tex]\frac{1}{2}(8)[/tex] + b2 = 4 + bSubtract 4 on both sides of the equation to solve for the y-intercept (b):2 - 4 = 4 + b - 4-2 = bIt still gives us the same y-intercept value of -2. We can finally put together our linear equation given our slope of 1/2 and y-intercept, -2. Therefore, our linear equation in slope-intercept form is:y = 1/2x - 2.