Answer
(a) The x-intercept is (9,0), and the y-intercept is (0,-6)
(b) See below
Work Step by Step
To find the x-intercept(s), we set f(x) to 0 and solve for x:
$0=\frac{2}{3}x-6$
$\frac{2}{3}x=6$
$x=6\cdot\frac{3}{2}$
$x=9$
To find the y-intercept(s), we set x to 0 and solve for f(x):
$f(x)=\frac{2}{3}(0)-6$
$f(x)=0-6$
$f(x)=-6$
