Question

In the xy-plane what is the x-intercept of the graph of
       2
2= - _ x-4
        3

(first number is negative 2/3)
Please show work when answering! Thankyou!

Answer 1

The x-intercept is obtained by solving the equation
y=-(2/3)x-4  substituting y=0  (i.e. where line cuts y=0)
0=-(2/3)x-4 =>
(2/3)x=-4
multiply by 3 on both sides
(2/3)x*3=-4*3
2x=-12
divide by 2 on each side
x=-6    [x-intercept]

Check: y(-6)=-(2/3)(-6) -4=4-4=0  good!