Algebra-1

From the graph, we can see the two coordinates (4, 5) and (7, 7). 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 (7) minus the y-coordinate of the first point (5) gives us a change in y of 7 - 5 = 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 (7) minus the x-coordinate of the first point (4) gives us a change in x of 7 - 4 = 3.

Now we can calculate the slope:

slope = (change in y) / (change in x) = 2 / 3 

Therefore, the slope of the line represented by the given graph is approximately 0.666..., which is equivalent to