Slope of a straight line perpendicular to another line.
This is going to be the last tutorial for finding the slope of a straight line this time perpendicular to another line so we are going to review some terms used in our tutorial:
Equation of a straight line given one point and perpendicular to a line.
For solving this problem we will need a perpendicular line to our slope and then follow the next steps:
- Find the slope of the given perpendicular line.
- Make the slope we are going to find perpendicular to the given one.
Example:
Given 3X-6Y=12 find a slope of a straight line perpendicular to the given line.
1.Find the slope of the given perpendicular line.
To do this we have to take the given equation to the slope intercept form (Y=mX+b) or in other word solve for Y.
3X-6Y=12
3X-12=6Y
Y=(1/2)X-2
So the slope in these case would be m=(1/2).
2.Make the slope we are going to find perpendicular to the given one.
To do that we have to find the negative reciprocal of the slope we just found, flipping the numbers of the slope and multiplying it by -1
m=(1/2) (in red)
mpp= -2 (in blue)
Solve this problem and many more using our favorite app QuickGraph.
