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:

$y=\dfrac{1}{2}x+8$

Putting $x=4$, we get

$y=\dfrac{1}{2}(4)+8$

$y=2+8$

$y=10$

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

In option C, the given equation is:

$y=-\dfrac{1}{2}x+14$

Putting $x=4$, we get

$y=-\dfrac{1}{2}(4)+14$

$y=-2+14$

$y=12$

This equation contains the point (4,12).

In option D, the given equation is:

$y=\dfrac{3}{4}x+9$

Putting $x=4$, we get

$y=\dfrac{3}{4}(4)+9$

$y=3+9$

$y=12$

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.