Respuesta :

The point slope form of the equation of a line is

[tex]y-y_1=m(x_{}-x_1)[/tex]

where (x1,y1) is the point that the line passes through and m is the slope.

Using the values given, we have

[tex]\begin{gathered} y-6=-\frac{3}{4}(x-(-4)) \\ y-6=-\frac{3}{4}(x+4) \end{gathered}[/tex]

Therefore the equation written in the point slope form is

[tex]y-6=-\frac{3}{4}(x+4)[/tex]