Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
Slopes of line perpendicular to the x-axis are undefined.
Parallel lines have the same slope.
2
-1
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
If the slopes are m1 and m2 then m1*m2 = -1 or m2 = -1/m1.
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
The relationship between perpendicular lines lies in there slopes. The slope of one line is the opposite reciprocal of the other. Written mathematically, the lines y=m*x +b and y =(-1/m)*x +c are perpendicular lines (note the y-intercepts do not need to be equal or even related to each other).
I believe they have Negative Slopes as stated by my Geometry Book. "Perpendicular Lines Have Slopes Which Are Negative ___"
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
Negative reciprocal slopes always represent perpendicular lines.
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
Slopes of line perpendicular to the x-axis are undefined.
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
When the perpendicular lines are horizontal and vertical.
You have to know the slopes of both lines. -- Take the two slopes. -- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.