Question

6x-2y=12 graph linear equation

Answer 1

To graph the linear equation, follow the steps below.

Step 01: Choose one value for x and find its corresponding y-value.

Choosing x = 0:

$\begin{gathered} 6x-2y=12 \\ 6\cdot0-2y=12 \\ 0-2y=12 \\ -2y=12 \end{gathered}$

Dividing both sides by -2:

$\begin{gathered} \frac{-2}{-2}y=\frac{12}{-2} \\ y=-6 \end{gathered}$

So, the linear equation has the point (0, -6).

Step 02: Choose another x value and substitute it in the equation.

Let's choose x = 2.

$\begin{gathered} 6\cdot2-2y=12 \\ 12-2y=12 \end{gathered}$

Subtracting 12 from both sides:

$\begin{gathered} 12-2y-12=12-12 \\ -2y=0 \\ y=\frac{0}{-2} \\ y=0 \end{gathered}$

So, the equation has the point (2, 0).

Step 03:

Plot the point and connect them.