 Let's try to find the equation of the line shown in the graph. First, we'll find two points on the line. Now, here's an important idea. Since we're trying to read coordinates from a graph, we should only choose points that are exactly on the intersection of two grid lines. So if we zoom in to look at our graph, we see there are a couple of points that are close, but we want a point that is exactly on the intersection of two grid lines. So that would be this point at 4, 3, and this point at 2, negative 4. So in order to write the equation of a line, we need at least one point and the slope between two points on the line. Now, we have two points that you could calculate the slope between them, but we might go back to the basic definition of slope as the ratio of rise over run. To go from this point to this point, we have to rise up by 7 units, and then we have to run horizontally by 2 units. And so our slope will be, and so the graph goes through the points 4, 3, 2, negative 4, and has slope 7 halves, and the easiest way to write the equation of a line is to use the point-slope form. The line through the point hk with slope m has equation y minus k equals m times x minus h, and so the equation of the line is going to be, and so we'll enter that in as our equation. We'll wait to confirm the syntax is all right and submit.