Question

find the slope of the L1 through (1,5) and (1,1) and slope L2 through (-2,2) and (-2,4).determine what types of lines are formed?.

Answer 1

consider a line A and a line B that are parallel

Answer 2

they have the same slope

Answer 3

when i graph the i got straight line

Answer 4

consider a line C and a line D that are perpendicular

Answer 5

their slopes are negative reciprocals

Answer 6

they have a solution?

Answer 7

now we need to find the slope of L1 and L2 and see how their slopes compare

Answer 8

what solution ??

Answer 9

no that was just an example to demonstrate the relationship between slopes of lines that are perpendicular or parallel

Answer 10

do you know how to find the slope of a line?

Answer 11

formula please ?? the i will show to you if it is correct or wrong

Answer 12

what is slope

Answer 13

i told you what slope was in your last question

Answer 14

do you remember?

Answer 15

y=mx+b

Answer 16

that's the equation of a line

Answer 17

slope is rise/run

Answer 18

but rise is a change in y-coordinates, and run is a change in x-coordinates

Answer 19

\[m=\frac{y-y_0}{x-x_0}\] you might recognize this because it's just the point-slope equation of a line rearranged\[y-y_0=m(x-x_0)\]

Answer 20

i got the anwer its undefined

Answer 21

try to calculate the slope of L1 that passes through (1,5) and (1,1)

Answer 22

4/0

Answer 23

ah k it's basically increasing without bound that's a bit tricky. did you graph the line earlier?

Answer 24

yes its undefined

Answer 25

there's an easier way to solve this problem, I was trying to teach you a more general approach that would work for more complex problems but we'll do the more obvious solution

Answer 26

L1 passes through (1,1) and (1,5)

Answer 27

it's a vertical line, which is why we're running into problems finding it's slope

Answer 28

L2 passes through (-2,2) and (-2,4)

Answer 29

graph it, what does it look like?

Answer 30

ok ook

Answer 31

it is not defined

Answer 32

yeah but what does it look like?

Answer 33

it's another vertical line which is why we can't get a slope, because its "run" is zero

Answer 34

vertical lines

Answer 35

right so what sort of relationship do L1 and L2 have?

Answer 36

what?

Answer 37

the question asks you to compare the slopes of L1 and L2 to determine what sort of lines are formed

Answer 38

we can't find the slopes since we can't divide by zero, but we can compare the lines

Answer 39

vertical lines?

Answer 40

by graphing, and see what kind of relationship they have

Answer 41

are they parallel, perpendicular, or neither?

Answer 42

neither

Answer 43

do you know the mathematical symbol for "parallel"? It's ||

Answer 44

Looks kind of like L1 and L2 ;)

Answer 45

no

Answer 46

they are parallel??

Answer 47

we couldn't find their slopes exactly, but we can see they have equal slopes

Answer 48

what types of lines are formed??

Answer 49

I would say "parallel vertical lines" for completeness' sake

Answer 50

what? what are they?

Answer 51

@Xeph

Answer 52

Yes?

Answer 53

tparallel vertical lines?