Respuesta :

[tex]y+8 = \frac{1}{2}(x-7)[/tex] is equivalent to [tex]y-(-8) = \frac{1}{2}(x-7)[/tex]

That is in the form 
[tex]y-y_{1} = m(x-x_{1})[/tex] which is point slope form

In this case,

m = 1/2 is the slope
(x1,y1) = (7,-8) is the point the line goes through

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