Question

is the equation of the line that pass through the points $(0,12)$ and $(1,8).$

• A. $4x+y=11$
• B. $3x+y=12$
• C. $4x+y=12$

Answer 1

The correct option is C $4x+y=12$

Let's check if the given points satisfy the equation $4x+y=12.$

Consider the point $(0,12).$ Substituting $x=0$ and $y=12$ in the equation, we get
$4\left(0\right)+12=12.$
$\Rightarrow$The point $(0,12)$ satisfies the equation $4x+y=12.$
Substituting $x=1$ and $y=8$ in the equation:
$⟹4\left(1\right)+8=12$
$\Rightarrow$The point $(1,8)$ satisfies the equation $4x+y=12.$
$\therefore 4x+y=12$ is the equation of the line that passes through $(0,12)$ and $(1,8).$
If any one point does not satisfy the equation given, then it can be concluded that the line of the equation does not pass through that point.