Question

Can someone please help will medal and fan!
A. Describe the difference between 0 slope and undefined slope and give an example of each. B. Describe the different uses for the slope intercept form, the point slope form and the standard form and give examples of each. C. Describe how to determine if two lines are parallel, perpendicular or neither and give examples of each.

Answer 1

if a line has a slope of 0, then the line is horizontal

Answer 2

if the slope is undefined, then the line is completely vertical

Answer 3

and undefined slopes don't exist right?

Answer 4

ohhhh

Answer 5

ok

Answer 6

can you help me with b and c please

Answer 7

@jim_thompson5910 r u there?

Answer 8

sorry the website is being laggy on my end, one moment

Answer 9

Okay its ok take your time :)

Answer 10

how far did you get with part b) ?

Answer 11

oh i don't really understand these three questions thats why i came here for help :)

Answer 12

do you have in your notes `slope intercept form` ?

Answer 13

y = mx + b

Answer 14

what does m and b represent?

Answer 15

m is the slope and b is the y intercept

Answer 16

yep

Answer 17

so if you know the slope and y intercept, you can form the equation

or you can go in reverse

if you know the equation, you can find the slope and y intercept

Answer 18

ya

Answer 19

what is point slope form?

Answer 20

y - k = m(x - h)

Answer 21

m is the slope and h,k is a point on the line

Answer 22

or you can write it as

\[\Large y - y_1 = m(x - x_1)\]

but you pretty much have it

Answer 23

oh ok

Answer 24

your way is probably better/easier to write on a keyboard

Answer 25

ya

Answer 26

what is one advantage of point slope form?

Answer 27

its an easy way of finding a line equation with two points

Answer 28

yes, you can find the slope of the line through those two points

then you can use point slope form to plug in the slope m and one of the points (h,k)

Answer 29

so thats my answer for b right?

Answer 30

you just need to go over standard form and then you're done with part b

Answer 31

oh ok

Answer 32

um i think standard form is like 10 to the power of 3 = 1000 right?

Answer 33

standard form, in terms of a linear equation is this

Ax + By = C

hopefully that looks familiar?

Answer 34

oh yea x,y is the point and A B C are the integers

Answer 35

yes (x,y) is on the line

Answer 36

ya

Answer 37

and how do we use standard form?

Answer 38

standard form is useful for helping to find x and y intercepts

you just plug in x = 0 to find the y intercept
or
plug in y = 0 to find the x intercept

Answer 39

ohh ok

Answer 40

and C i'm not sure about because like are they asking about normal lines or...

Answer 41

if two lines are parallel, what must be true of their slopes?

Answer 42

its not a function......

Answer 43

i don't know

Answer 44

the slopes would be equal

Answer 45

example

y = 2x+7
y = 2x+9

both slopes are 2. If you graphed the two equations, you'll find that they never cross

Answer 46

ohhh ok

Answer 47

if two lines are perpendicular, then the two slopes will multiply to -1

example
y = 3x+5
y = -1/3x + 10

3 times -1/3 = -1, so these two lines are perpendicular. They meet at a 90 degree angle

Answer 48

ok

Answer 49

and i think we're done now right?

Answer 50

yes I think that covers it all

Answer 51

oh good thank you soo much :)

Answer 52

no problem