Answer:
Please find the attachment.
Step-by-step explanation:
We are asked to graph the equation [tex]y-5=-\frac{2}{3}(x+9)[/tex].
We know that point-slope form of an equation is in form [tex]y-y_1=m(x-x_1)[/tex], where, m represents slope of line and [tex](x_1,y_1)[/tex] is a point on the line.
We can see that slope of the line is [tex]-\frac{2}{3}[/tex], so line will be a decreasing line.
We can represent the given equation as [tex]y-5=-\frac{2}{3}(x-(-9))[/tex].
The line will pass through the point [tex](-9,5)[/tex].
