EXPLANATION
Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x_1,y_1)=(1,-6)
Replacing terms:
[tex]y-(-6)=9(x-1)[/tex]Applying the subtraction property:
[tex]y+6=9(x-1)\longrightarrow\text{ point-slope form}[/tex]
