Hi,

Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line

 through points R(-6, 0) and S(-9, 8)?

Using the point-slope formula, 

P(1, 9) and 

Q(9, 6)     m = 3/-8 = -3/8



R(-6, 0) and 

S(-9, 8)    m = -8/3 

b. No; their slopes are not opposite reciprocals. 

(their slopes are only reciprocals-same sign) 

 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 Is the line through points P(1, 9) and Q(9, 6) perpendicular to the line through points R(-6, 0) and S(-9, 8)? Explain.



--------------

Slope m = diffy/diffx

The slope of PQ is -3/8

The slope of RS is 8/-3 = -8/3

-----------------

b.

The lines will intersect, but they're not perpendicular.

 

RELATED QUESTIONS

Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through... (answered by solver91311)

What is the slope of the line passing through the points ( 8, 0 ) and ( 9, 6  (answered by tutor_paul)

   

      A line with a slope of -1 passes through the points (9,-7) and (q,-6). What... (answered by rothauserc)

Which two lines are parallel?

A.    5y = –3x – 5
B.   5y = –5 – 3x
C.  3y – 2x = –1
 (answered by Alan3354)

Find the slope of the line through the pair of points.

 

(-9, -6) and (-9, -8)

  (answered by junior403)

Find the slope of the line through the pair of points.

 

(-9, -6) and (-9,... (answered by benni1013)

Find the slope of the line through the pair of points.

 

(-9, -6) and (-9, -8)

 (answered by adamchapman)

Find the slope of the line through the pair of points.
(-9,-6)  and  (-9,-8)
 (answered by mananth)