Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from -6 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at (0, 3), and (5, 1).
Determine if the given graph is the graph of the function y = -2/5x + 3.
To determine if the given graph is the graph of the function y = -2/5x + 3, we need to check if the line passes through the two given points (0, 3) and (5, 1).
Let's substitute the x and y values of the first point (0, 3) into the equation y = -2/5x + 3:
3 = -2/5(0) + 3
3 = 0 + 3
3 = 3
Since the equation holds true for the first point, let's substitute the x and y values of the second point (5, 1) into the equation:
1 = -2/5(5) + 3
1 = -2 + 3
1 = 1
Again, the equation holds true for the second point.
Therefore, since the given line passes through both given points, it is indeed the graph of the function y = -2/5x + 3.