The equation of the line y = -3x + 17 would have a graph that is shown in the diagram attached below.
Given that the line y = -3x + b goes through the point B(5, 2), it means that the slope (m) of the line would be -3, while the line would intercept the y-axis at b.
To find the value of b, substitute (x, y) = (5, 2) into y = -3x + b:
2 = -3(5) + b
2 = -15 + b
2 + 15 = b
17 = b
b = 17
Thus, the equation of the line y = -3x + 17 would have a graph that is shown in the diagram attached below.
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