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 ( - 4, 0) and ( - 4, 3) in the above formula to find the slope of the blue line.
The slope of blue line is undefined. We can do the same for two points on the red line. This time we will choose ( 1, 0) and ( 1, 2) and put them into the Slope Formula.
The slope of both lines is undefined. Therefore, the lines are parallel.
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.
