Question

Part 1: Write the equation of the line that passes through the points (3, 4) and (-3, -8) in point-slope form.

Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

Answer 1

Part 1. What is point slope form?

Answer 2

i have no idea

Answer 3

Is slope the change in y divided by the change in x or rise or run?

Answer 4

honestly i dont know

Answer 5

It is.
Point slope for is y-y1=m(x-x1) where m is the slope

Answer 6

point slope is \[y-y _{1}=m(x-x _{1})\]

Answer 7

so if m=(y2-y1)/(x2-x1) where (x2,y2)= (3, 4) and (x1,y1)=(-3,-8) what is m?

Answer 8

so the slope would be y2-y1/x2-x1 , right?

Answer 9

point = (x,y) an ordered pair
when you know the slope (m) you can create the equation of the line
y = mx+b
where b is the y intersect at x=0

Answer 10

so the slope would be y2-y1/x2-x1 , right?

YES

Answer 11

still confused

Answer 12

(3, 4) and (-3, -8) are your points
(x1,y1) (x2,y2)

Answer 13

and point slope form is

(y - y1) = m (x-x1)

you can find your m - the slope - using rise over run: the change in y divided by the change in x

m = (y2 - y1)/(x2 - x1)

Answer 14

uhm... what?

Answer 15

how would i write the answer out?

Answer 16

Your answer would be in the weird line form

(y - y1)= m (x - x1)

The y and the x that don't have subscripts are the variables that you normally see in an equation of a line. The y1 and x1 are the specific points the question gives you.

(y - 4) = m (x - 3)

Does that make more sense?

Answer 17

is that both part one and two?

Answer 18

Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.
thats part 2

Answer 19

the slope m would be (y2 - y1)/(x2 - x1) = (-8 - 4)/(-3 -3)

The second part is which point did you choose for the y1 and x1. It does matter which point you choose, because of how we defined the slope.

Answer 20

so how would i write that?

Answer 21

This all got very convoluted very quickly :P

Answer 22

Well, does it make sense how the slope was defined?

Answer 23

not at all. im not good with math..

Answer 24

:) no worries. I'll draw a picture!

Answer 25

but it has to be written

Answer 26

I know, but it'll make it easier

Answer 27

i need to get the assignment done soon or else itll cancel it :(

Answer 28

harumph, fine. The slope is a number that shows how sharply the line is going up, so you use the change in y divided by the change in x, or

(y2 - y1)(x2-x1)

Answer 29

Since we also said that our equation of the line was

(y - y1) = m (x - x1)

we have to stay consistent because of how we defined m

Answer 30

Thank you :) if i could give ya a hug for sticking around and helping i would.

Answer 31

Glad this clusterbomb got sorted out :)

Answer 32

thanks again

Answer 33

good lucks and such

Answer 34

thanks