you got it a/2 *3=-1Originally Posted by zoso
a=-2/3
Malay
What do you mean a=? Are you just using it as another variable to the slope (m)? Usually the slopes of all lines are m=, regardless of them being perpendicular. In your case, the slope of the line perpendicular to a line with the slope of would beOriginally Posted by zoso
Negative reciprocals are basically just the opposite of the original fraction/whole number (just flip it).
Examples:
, the negative reciprocal is:
, the negative reciprocal is:
, the negative reciprocal is:
, the negative reciprocal is:
Remember, parallel lines have the same slope.
Hope this helps..
-NineZeroFive
the question was if a line with the slope is perpendicular to a line with the slope then what is the value of a?Originally Posted by 905
which (this is just extending what Malay said) would mean that and are negative reciprocal, which implies that multiplied together they equal -1, now solve for a...
check:
Interesting use of negative reciprocal:
Just a bit of info you might like nzf, in a linear equation like to find the x-intercept you multiply the y-intercept by the slopes negative reciprocal.
~
Slope are used to find family of lines.
You are given a line
Family of lines parallel to the given line
(Same coefficients of x and t means same slope, k is a parameter)
Family of lines perpendicular to the given line
or, (Swapping the cofficients of x and y and multiplying anyone of then by -1 gives a perpendicular line, this is due to negative reciprocal)
Keep Smiling
Malay