The slope is ...
... m = (change in y)/(change in x) = (-53 -24)/(7-(-4)) = -77/11 = -7
Using the first point, the equation is ...
... y - 24 = -7(x + 4)
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The line with slope m through point (h, k) is given by
... y - k = m(x - h)
The signs in your given equation are such that the point coordinate values cannot be used directly.