The equation in point-slope form is defined as
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{where} \\ m\text{ is the slope} \\ (x_1,y_1)\text{ are the coordinates of a point in the line} \end{gathered}[/tex]
Given
a slope of m = -6
a point in the line that passes through (7,-4)
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{Substitute the values from the given} \\ y-(-4)=(-6)(x-7) \\ \\ y-(-4)=-6(x-7) \end{gathered}[/tex]
