The point slope form of straight line with slope m and passing through the point (a,b) is
[tex](y-b)=m(x-a)[/tex]Given slope of the line is m=6 and it passes through the point (5,-7).
Therefore,
a=5
b=-7
m=6
Putting these values in the first equation, we have,
[tex](y+7)=(x-5)[/tex]This is the required equation.
