Question

True or false The point $\left(1,2\right)$is on the line$2x+y=4$.

Short answer

The statement "The point $\left(1,2\right)$is on the line $2x+y=4$." is true.

Step-by-step solution

Step 1. Given information.

We have:

$2x+y=4$and the point$\left(1,2\right)$.

Step 2. Find whether the statement is true or false.  

The equation is $2x+y=4$and the point is $\left(1,2\right)$.

Substitute the value of $\left(x,y\right)=\left(1,2\right)$into the equation.

$$\begin{gathered} 2\left(1\right)+2=4 \\ 2+2=4 \\ 4=4 \end{gathered}$$

Both sides are equal.

Hence, $\left(1,2\right)$is the point lie on the line$2x+y=4$.