The graph shown in the picture is the correct graph that represents the linear function: y = -5x + 2.
We can see that the y-intercept is at (0, 2) in the graph, which matches the equation.
Also, the slope of the graph is -5, because the graph is sloping downwards at a rate of 5 units.
If you see on the graph, at x = 1 the y value is at -3.
We can verify this in the equation y = -5x + 2 by substituting in 1 for x:
y = -5(1) + 2
y = -5 + 2
y = -3
Therefore, the graph shown in the question is the correct graph that represents the equation y = -5x + 2.