Question

Wich of the following equations would NOT contain the point (4,12)

Answer 1

Given:

The given point is (4,12).

To find:

The equation that would NOT contain the point (4,12).

Solution:

We need to check each equation for the point (4,12).

In option A, the given equation is:

`y=-2x+20`

Putting
`x=4`, we get

`y=-2(4)+20`

`y=-8+20`

`y=12`

This equation contains the point (4,12).

In option B, the given equation is:

`y=(1)/(2)x+8`

Putting
`x=4`, we get

`y=(1)/(2)(4)+8`

`y=2+8`

`y=10`

This equation does not contain the point (4,12).

In option C, the given equation is:

`y=-(1)/(2)x+14`

Putting
`x=4`, we get

`y=-(1)/(2)(4)+14`

`y=-2+14`

`y=12`

This equation contains the point (4,12).

In option D, the given equation is:

`y=(3)/(4)x+9`

Putting
`x=4`, we get

`y=(3)/(4)(4)+9`

`y=3+9`

`y=12`

This equation contains the point (4,12).

Only the equation in option B does NOT contain the point (4,12). Therefore, the correct option is B.