For the X intercept you set y = 0 and solve for x
Y = [tex]- \frac{8}{3} [/tex]x + 9
0= [tex]- \frac{8}{3} [/tex]x + 9 subtract 9 from both sides
-9 = [tex] -\frac{8}{3} x[/tex] divide both sides by 3
-3 = -8x divide both sides by -8
[tex] \frac{3}{8} [/tex] = x
X-intercept = ([tex] \frac{3}{8} [/tex], 0)
