Using two points on the graph, we can determine the slope.
Let (x1, y1) = (0, 3)
(x2, y2) = (1, -2)
Use the slope formula and substitute the values:
m = (y2 - y1)/(x2 - x1)
m = (-2 - 3)/(1 - 0)
m = -5/1 or -5.
Therefore, the slope (m) = -5.
The y-intercept (b) is the point on the graph where it crosses the y-axis, and has coordinates (0, b). Looking at the graph, the y-intercept occurs at (0, 3). Therefore, the y-intercept (b) = 3.
Therefore, the linear function of the graph is y = -5x + 3.
The correct answer is B: y = -5x + 3.
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