Answer:
[tex]y - 8 = - \frac{2}{3} (x + 3)[/tex]
Step-by-step explanation:
Based on how the equation is described, the slope is
[tex]m = - \frac{2}{3} [/tex]
The point slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
We substitute the point (-3,8) and the slope to get:
[tex]y - 8 = - \frac{2}{3} (x - - 3)[/tex]
Hence the point-slope form is
[tex]y - 8 = - \frac{2}{3} (x + 3)[/tex]
