The general line equation in slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
- Now, two lines are parallel if they have the same slope
- Two lines are perpendicular if
[tex]M=-\frac{1}{m}[/tex]
where M is the slope of the other line.
In our case, we must see how the slopes are related. In the first case, we have
[tex]y=x-2[/tex]
in the second case, we have
[tex]y=x+1[/tex]
since the slope is the coefficient of the variable x, we can note that both lines have slope equal 1. This means that the lines are parellel.
