Show that a line through (0, 0) and (c, d) is perpendicular to a line through (0, 0) and (-d, c).

Slope of first line =
Slope of second line =

Question

Show that a line through (0, 0) and (c, d) is perpendicular to a line through (0, 0) and (-d, c).

Slope of first line =
Slope of second line =

ash2326 · Answer

johny find the slope of both the lines , let them be m1 and m2 
if 
$$m1*m2=-1$$
then the lines are perpendicular

anonymous · Answer

Two lines are perpendicular if the product of there slopes is -1

anonymous · Answer

i already knew that

anonymous · Answer

For the line through (0, 0) and (c, d) the slope is $ \frac {d}{c} $ and for the line through (0,0) and (-d.c) the slope is $-\frac{c}{d} $ now if you take the product it will be -1 hence the two lines will be perpendicular.