Algebra-1

From the graph, we can see the two coordinates (5, -1) and (-5, 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 (-1) gives us a change in y of 1 - (-1) = 2.

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 (-5) minus the x-coordinate of the first point (5) gives us a change in x of -5 - 5 = -10.

Now we can calculate the slope:

slope = (change in y) / (change in x) = 2 / -10 = -1/5

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