Algebra-1

From the graph, we can see the two coordinates (-8, 2) and (4, -1). These coordinates represent two points on the graph.

To find the slope of the line, we can use the formula:

slope = (change in y) / (change in x)

The change in y is the difference in the y-coordinates between the two points. In this case, the y-coordinate of the second point (-1) minus the y-coordinate of the first point (2) gives us a change in y of -1 - 2 = -3.

The change in x is the difference in the x-coordinates between the two points. In this case, the x-coordinate of the second point (4) minus the x-coordinate of the first point (-8) gives us a change in x of 4 - (-8) = 4 + 8 = 12.

Now we can calculate the slope:

slope = (change in y) / (change in x) = -3 / 12 = -1/4

Therefore, the slope of the line represented by the given graph is