Q. 6 - Precalculus Enhanced with Graphing Utilities

Question

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

Step-by-Step Solution

Answer

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

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 $2x+y=4$.