SOLUTION: 17)Find the slope of the line that is (a)parallel and (b)perpendicular to the line through the pair of points. (-4,-6) and (1,3) For both, type an integer and simplified fracti

Algebra ->  Graphs -> SOLUTION: 17)Find the slope of the line that is (a)parallel and (b)perpendicular to the line through the pair of points. (-4,-6) and (1,3) For both, type an integer and simplified fracti      Log On


   



Question 381298: 17)Find the slope of the line that is (a)parallel and (b)perpendicular to the line through the pair of points.
(-4,-6) and (1,3)
For both, type an integer and simplified fraction.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(-4,-6) and (1,3)
slope m of the line passing through above points =
=y2-y1 / x2-x1
=((3-(-6))/((1-(-4))
=(9/5)
...
slope of line parallel to this linewill be the same = 9/5
..
Find the value of b
plug x,y, & b in y= mx +b
-6=9/5*-4 +b
-6+36/5 =b
(-30+36)/5 =b
b= 6/5
..
equation of line parallel to the line will be
y= 9/5 *x +6/5
Y = 1.8 X + 1.20
....
Line perpendicular will have slope of negative reciprocal= -5/9
y= -5/9x +6/5
y=--0.55x+1.20
...
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C%281.8x%2B1.20%29%2C%28-0.55x%2B1.20%29%29
...
m.ananth@hotmail.ca