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I understand the equation to be y = -3x - 2 and the point to be (5,1).
I substitute 1 for each appearance of y and 5 for each appearance of x:
1 = -3(5) - 2 = -15 - 2 = -17, which is not a true statement. Therefore, that is not a solution.
To get a solution, set x=1, and calculate y by substituting this value (1) for x wherever it appears:
y = -3(1) - 2 = -3 - 2 = -5.
Therefore, (-5,1) is a solution. (I suspect that this is what you meant to put in the question.)
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