Remember that parallel lines have the same slope. To find the slope of each line, we will use the Slope Formula.
m = y_2-y_1/x_2-x_1
Now, let's choose two points on the blue line. We will use ( 0, 0) and ( 0, 1) in the above formula to find the slope of the blue line.
This means that the slope of the line x=0 is undefined. Next, we can do the same for two points on the red line. This time we will choose ( 0, 0) and ( 1, 0) to put into the Slope Formula.
The slopes of the lines are not the same. Therefore, the lines are not parallel, as we saw when we graphed the lines.
Extra
Linear Equations
A linear equation is an equation whose graph is a line.
This type of equation contains at least one linear term and any number of constants. Let's see a few examples!
& y=2x+1,
& 3x=6 +3,
& 2y+x=4
For those of you who are interested in learning more about the different types of linear equations and their graphs, you can read more about them on the following pages.
