Question

Which of the following is a solution of this equation?

A.
(5,0)

B.
(-1, 1)

C.
(3,-1)

D.
(-2,-3)

Answer 1

D. (-2,-3)

Explanation:

substitute the point values of
`x` and
`y` into the equation
`y=(1)/(2)x-2`

A.
`0=(1)/(2)(5)-2`

`0=2.5-2`

`0` ≠
`0.5`

B.
`1=(1)/(2)(-1)-2`

`1=-.5-2`

`1` ≠
`-2.5`

C.
`-1=(1)/(2)(3)-2`

`-1=1.5-2`

`-1` ≠
`-0.5`

D.
`-3=(1)/(2)(-2)-2`

`-3=-1-2`

`-3=-3`