the slope of the line below is -1/7. Write the point slope equation of the line using the coordinates of the labeled point

Answer:
The correct option is C.
Step-by-step explanation:
If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
It is given that the slope of the line is -1/7. From the graph it is clear that the line passes through the point (3,3).
Substitute x₁=3, y₁=3 and [tex]m=-\frac{1}{7}[/tex] in the above equation.
[tex]y-3=-\frac{1}{7}(x-3)[/tex]
The point slope form of the given equation is [tex]y-3=-\frac{1}{7}(x-3)[/tex].
Therefore the correct option is C.