how can u determine lines dat r parallel or perpendicular wen dey give u equations?

Question

for example diz iz 1 of the problems.

y= 5x - 8 and y= -5x - 8

Answer 1

You determine it by looking at the slope (m in y = mx + b)

Lines are parallel if their slopes are the same.
Ex) y = 3x + 5 and y = 3x -10

Lines are perpendicular if their slopes are opposite reciprocals.
Ex) y = 7x + 3 and y = (-1/7)x -5

For your problem, it would be neither.

Hope that helps!

Answer 2

Since these are in the Y=MX + B form and M = the slope, it's easy to determine whether they're parallel or perpendicular.
If the slopes are the same, they are parallel.
If when u multiply the slopes and they equal -1, the lines are perpendicular.
Ex. Parallel , Y=2X - 4 and Y= 2X+1
Ex Perpendicular, Y=2X-4 and Y= -1/2X +3
(on a side note, you don't really have to worry too much about the y intercepts when determining whether parallel or perpendicular)
In your two lines, they are neither parallel or perpendicular

Answer 3

step 1.find the slopes m1 and m2 of both the lines

step 2.see if m1=m2.if yes,conclude that the lines are parallel

step 3.if m1 is not equal to m2 see if m1m2=-1.if yes the lines are perpendicular.

step 4if m1is not = m2 and if m1m2 is not -1 conclude the lines are neither parallel nor perpendicular

y=5x-8 comparing with y=mx+b, m1=5
y=-5x-8 comparing with y=mx+b, m2=-5
m1 not =m2
m1m2=-25 and so not = -1
so the lines are neither parallel nor perpendicular

Answer 4

y= 5x - 8

y= -5x - 8

these lines are neither parallel nor perpindicular.
parallel lines have the same slope, in this cas 1 slope is 5 & the other is -5.

Perpindicular lines have slopes that are negative recipricals. Here they are negative but not reciprical. 5 & -1/5 are negative recipricals; -5 & 1/5 are negative recipricals.

Answer 5

Look at the slope of the two lines. If the slopes are negative reciprocals of each other then the lines are perpendicular.

The slopes are

5 and -5. They are not negative reciprocals so the lines are not perpendicular.