SOLUTION: Line L has a slope of -3. The line through which of the following pair of points is perpendicular to L. a. (-2,-3), (-3,-6) b. (-18,-1),(-3,0) c. (-4,-3), (-3,-6) d. (-6,-4), (

Algebra ->  Linear-equations -> SOLUTION: Line L has a slope of -3. The line through which of the following pair of points is perpendicular to L. a. (-2,-3), (-3,-6) b. (-18,-1),(-3,0) c. (-4,-3), (-3,-6) d. (-6,-4), (      Log On


   



Question 1044331: Line L has a slope of -3. The line through which of the following pair of points is perpendicular to L.
a. (-2,-3), (-3,-6)
b. (-18,-1),(-3,0)
c. (-4,-3), (-3,-6)
d. (-6,-4), (-3,-3)
How can I solve this?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
equation of a line is: y=mx%2Bb where m is slope and b is y-intercept
if given line L has a slope of -3, means m=%28x%5B1%5D-x%5B2%5D%29%29%2F%28y%5B1%5D-y%5B2%5D%29%29=-3
the line perpendicular to L will have slope a negative reciprocal of m=-3 and it is m%5Bp%5D=-1%2F%28-3%29=1%2F3
m%5Bp%5D=%28x%5B1%5D-x%5B2%5D%29%2F%28y%5B1%5D-y%5B2%5D%29=1%2F3
now check given choices:
a. (-2,-3), (-3,-6)
m%5Bp%5D=%28x%5B1%5D-x%5B2%5D%29%2F%28y%5B1%5D-y%5B2%5D%29=1%2F3
%28-2-%28-3%29%29%2F%28-3-%28-6%29%29=%28-2%2B3%29%2F%28-3%2B6%29=1%2F3-> true, so pair of points (-2,-3), (-3,-6) is on a line perpendicular to L

b. (-18,-1), (-3,0)
m%5Bp%5D=%28x%5B1%5D-x%5B2%5D%29%2F%28y%5B1%5D-y%5B2%5D%29=1%2F3
%28-18-%28-3%29%29%2F%28-1-%280%29%29=%28-18%2B3%29%2F%28-1%29=-15%2F-1=15-> not true, so pair of points (-18,-1), (-3,0) is not on a line perpendicular to L

c.
(-4,-3), (-3,-6)
m%5Bp%5D=%28x%5B1%5D-x%5B2%5D%29%2F%28y%5B1%5D-y%5B2%5D%29=1%2F3
%28-4-%28-3%29%29%2F%28-3-%28-6%29%29=%28-4%2B3%29%2F%28-3%2B6%29=-1%2F3-> not true, so pair of points (-4,-3), (-3,-6) is not on a line perpendicular to L

d.
(-6,-4), (-3,-3)
m%5Bp%5D=%28x%5B1%5D-x%5B2%5D%29%2F%28y%5B1%5D-y%5B2%5D%29=1%2F3
%28-6-%28-3%29%29%2F%28-4-%28-3%29%29=%28-6%2B3%29%2F%28-4%2B3%29=-3%2F-1=3-> not true, so pair of points (-6,-4), (-3,-3) is not on a line perpendicular to L

so, option a. (-2,-3), (-3,-6) is your answer