Answer:
2x +7y = -28 . . . . (A, B, C) = (2, 7, -28)
Explanation:
The standard form equation of a line through points (x1, y1) and (x2, y2) can be written using the formula ...
(y2 -y1)x -(x2 -x1)y = x1y2 -x2y1
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application
It appears the line goes through the points (-7, -2) and (0, -4). Using these values in the above formula gives ...
(-4 -(-2))x -(0 -(-7))y = (-7)(-4) -0(-2)
-2x -7y = 28
Standard form requires a positive leading coefficient. Multiplying by -1 gives ...
2x +7y = -28
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Additional comment
Above, we have taken our best guess as to the points the line passes through. It appears from the numbers we can see in the problem statement here that the intention might be for the line to have a slope of -1/3. In that case, the equation might be ...
x + 3y = -12 . . . . (A, B, C) = (1, 3, -12)
You may be able to tell from the attachment that the line with this equation is a poor approximation of the line shown on the graph.