Answer: [tex]y - 6 = \frac{1}{2}(x - 5)[/tex]
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Explanation:
To get this answer, we start off with this general template
[tex]y - y_1 = m(x - x_1)[/tex]
which is the point-slope form. The m is the placeholder for the slope. The (x1,y1) is the point the line goes through.
In this case, m = 1/2 is the slope. The given point on the line is (x1,y1) = (5,6) meaning it breaks down into x1 = 5 and y1 = 6.
Plugging all that in has us go from this
[tex]y - y_1 = m(x - x_1)[/tex]
to this
[tex]y - 6 = \frac{1}{2}(x-5)[/tex]
