Answer:
Slope = -5/4
Y-Intercept = (0, -4)
Explanation:
Step One: Determine two points.
In order to find slope, we have to find the amount of horizontal units (left and right) and vertical units (up and down) that two points are apart. We can choose any two points along this line to compare, so I'll use (0, -4) and (5, 0) since they align perfectly on the grid.
Step Two: Find the difference between the two points.
To find the differences, all we have to do is subtract the second point's X value from the first point's X value. So in this case, we would subtract 5 from 0, which gives us -5.
Next, we have to find the difference in our Y values, so we'll do the same thing here. We'll have 0 - (-4) (or 0 + 4, since subtracting a negative number is technically just addition), which ends up being 4.
Step Three: Put the differences into slope form.
Our slope form is Y/X, or you can think of it as "Rise/Run". We remember that our Y difference was -5, and our X difference was 4, so our end slope would be -5/4.
Step Four: Find the Y-Intercept
Since you have access to a graph of the line, the easiest way is to look at your graph and find the point where the line crosses the Y-axis (the black, vertical line where X = 0). From the graph, we can tell that the blue line crosses the Y-axis at (0, -4), so our Y-Intercept would be (0, -4)