Hi my name is Valerie I want to know if the procedure for de

Hi my name is Valerie I want to know if the procedure for \"determining whether the two lines are parallel, perpendicular or neither\" the same as \"finding slopes from equations\" they look similar please explain problem #71

Solution

The lines are parallel when the slope need to be identical ie m1 = m2

for example y= 2x + 5 and y= 2x + 10

Here the slope of line y= 2x+ 5 i.e m= 2 as y= mx +b

same as slope of line y= 2x+ 10 = 2

For the lines to be perpendicular, the slopes must be negative reciprocals,.

m2m1= -1

when both fails its neither

In 71)

8x -9y = 6 here

y = (-A/B)x + (-C/B) for Ax + By + C= 0

m= -8/-9

8x+ 6y = -5

here m =-8/6

So neither parallel nor perpendicular