The equation of line is:
[tex]y = \frac{1}{2}x-\frac{19}{2}[/tex]
Further explanation:
The general form of point-slope equation is:
[tex]y = mx+b[/tex]
It is given that m = 1/2
Putting in the value of m
[tex]y = \frac{1}{2}x+b[/tex]
We have to find the value of b so putting the value of x and y
(x,y) = (7,-6)
[tex]-6 = \frac{1}{2}(7)+b\\-6 = \frac{7}{2} +b\\b = -6-\frac{7}{2}\\b = \frac{-12-7}{2}\\b = \frac{-19}{2}[/tex]
Putting the values of b and m in general form
[tex]y = \frac{1}{2}x-\frac{19}{2}[/tex]
Keywords: Equation of line, point-slope form
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