In order to solve the equation y = 6x - 10, since it has two variables, we have an infinite number of solutions.
So in order to solve it, we can choose values for x and then calculate the corresponding values of y.
For example:
[tex]\begin{gathered} y=6x-10 \\ x=0\colon \\ y=0-10=-10 \\ x=1\colon \\ y=6-10=-4 \\ x=2\colon \\ y=12-10=2 \end{gathered}[/tex]In order to graph this equation, we can choose two points that are solution to the equation (for example, (1, -4) and (2, 2)), graph these points and the line that passes through the points. So we have:
The line represents graphically the equation, and all points on the line are solution to the equation.
