Write an equation in point slope form of the line that passes through the given point and has the given slope (7,-6);m=1/2

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 = 1/2Putting 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 formLearn more about point-slope form of equation of line at:brainly.com/question/6436086brainly.com/question/12954015#LearnwithBrainly