Answer:
[tex]y=-\frac{2}{3}x+6[/tex]
Step-by-step explanation:
we have been give that
slope, m = -2/3
The line passes through the point (-3,8).
Hence, [tex]x_1=-3,y_1=8[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Substituting the known values
[tex]y-8=-\frac{2}{3}(x-(-3))[/tex]
On simplifying, we get
[tex]y-8=-\frac{2}{3}x-2\\\\y=-\frac{2}{3}x+6[/tex]
Thus, equation of line is [tex]y=-\frac{2}{3}x+6[/tex]
