Question

Which point is a solution to the equation -y=4A (3, 8)B. (0,8)C. (2, 5)D(6,0

Answer 1

Substitute the coordinates of each point into the expression on the left hand side of the equation to find which of them make the expression to be equal to 4.

`(2)/(3)x-(1)/(2)y`

A (3,8)

Substitute x=3 and y=8:

`(2)/(3)(3)-(1)/(2)(8)=2-4=-2`

B (0,8)

Substitute x=0 and y=8:

`(2)/(3)(0)-(1)/(2)(8)=0-4=-4`

C (2,5)

Substitute x=2 and y=5:

`(2)/(3)(2)-(1)/(2)(5)=(4)/(3)-(5)/(2)=-(7)/(6)`

D (6,0)

Substitute x=6 and y=0:

`(2)/(3)(6)-(1)/(2)(0)=(12)/(3)-0=4`

Therefore, the point (6,0) is a solution to the given equation (option D).